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400441380672 = 2634745239811
BaseRepresentation
bin1011101001111000010…
…10101000111101000000
31102021121110002211110010
411310330022220331000
523030100443140142
6503543224304520
740634211401064
oct5647412507500
91367543084403
10400441380672
1114490a7a1213
1265737012140
132b9b8c0aa38
141554aa59aa4
15a63a532e9c
hex5d3c2a8f40

400441380672 has 112 divisors (see below), whose sum is σ = 1082393275392. Its totient is φ = 130598254080.

The previous prime is 400441380613. The next prime is 400441380701. The reversal of 400441380672 is 276083144004.

It is a self number, because there is not a number n which added to its sum of digits gives 400441380672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40810647 + ... + 40820457.

Almost surely, 2400441380672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400441380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541196637696).

400441380672 is an abundant number, since it is smaller than the sum of its proper divisors (681951894720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400441380672 is a wasteful number, since it uses less digits than its factorization.

400441380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14396 (or 14386 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 400441380672 in words is "four hundred billion, four hundred forty-one million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 4523 9024 9046 9811 13569 18092 19622 27138 29433 36184 39244 54276 58866 72368 78488 108552 117732 144736 156976 212581 217104 235464 289472 313952 425162 434208 461117 470928 627904 637743 850324 868416 922234 941856 1275486 1383351 1700648 1844468 1883712 2550972 2766702 3401296 3688936 5101944 5533404 6802592 7377872 10203888 11066808 13605184 14755744 20407776 22133616 29511488 40815552 44267232 44375153 88534464 88750306 133125459 177500612 266250918 355001224 532501836 710002448 1065003672 1420004896 2085632191 2130007344 2840009792 4171264382 4260014688 6256896573 8342528764 8520029376 12513793146 16685057528 25027586292 33370115056 50055172584 66740230112 100110345168 133480460224 200220690336 400441380672