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400577062340 = 2257134753149593
BaseRepresentation
bin1011101010001000100…
…00001110010111000100
31102021221220102011201002
411311010100032113010
523030340211443330
6504004512352432
740640446564340
oct5650420162704
91367856364632
10400577062340
1114497a343924
1265774545718
132ba0b065650
1415560a98620
15a6473d4e45
hex5d4440e5c4

400577062340 has 384 divisors, whose sum is σ = 1086375628800. Its totient is φ = 120716623872.

The previous prime is 400577062297. The next prime is 400577062343. The reversal of 400577062340 is 43260775004.

It is a junction number, because it is equal to n+sod(n) for n = 400577062294 and 400577062303.

It is not an unprimeable number, because it can be changed into a prime (400577062343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 675509084 + ... + 675509676.

It is an arithmetic number, because the mean of its divisors is an integer number (2829103200).

Almost surely, 2400577062340 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 400577062340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543187814400).

400577062340 is an abundant number, since it is smaller than the sum of its proper divisors (685798566460).

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

400577062340 is a wasteful number, since it uses less digits than its factorization.

400577062340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 400577062340 in words is "four hundred billion, five hundred seventy-seven million, sixty-two thousand, three hundred forty".