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400440404040 = 233524113846487
BaseRepresentation
bin1011101001111000001…
…10111010100001001000
31102021121101021012202120
411310330012322201020
523030100220412130
6503543151331240
740634200162545
oct5647406724110
91367541235676
10400440404040
1114490a194486
1265736820b20
132b9b8958351
141554a883bcc
15a63a3dd910
hex5d3c1ba848

400440404040 has 64 divisors (see below), whose sum is σ = 1206306034560. Its totient is φ = 106341012480.

The previous prime is 400440403973. The next prime is 400440404053. The reversal of 400440404040 is 40404044004.

It is a Harshad number since it is a multiple of its sum of digits (24).

400440404040 is a modest number, since divided by 404040 gives 400440 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 400440404040.

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, 6894324 + ... + 6952163.

It is an arithmetic number, because the mean of its divisors is an integer number (18848531790).

Almost surely, 2400440404040 is an apocalyptic number.

400440404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400440404040 is an abundant number, since it is smaller than the sum of its proper divisors (805865630520).

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

400440404040 is a wasteful number, since it uses less digits than its factorization.

400440404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13846742 (or 13846738 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 400440404040 its reverse (40404044004), we get a palindrome (440844448044).

The spelling of 400440404040 in words is "four hundred billion, four hundred forty million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 13846487 27692974 41539461 55385948 69232435 83078922 110771896 138464870 166157844 207697305 276929740 332315688 415394610 553859480 830789220 1661578440 3337003367 6674006734 10011010101 13348013468 16685016835 20022020202 26696026936 33370033670 40044040404 50055050505 66740067340 80088080808 100110101010 133480134680 200220202020 400440404040