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40697475840 = 283357168227
BaseRepresentation
bin100101111001110000…
…100011001100000000
310220001021110222111000
4211321300203030000
51131322023211330
630410212052000
72640343560030
oct457160431400
9126037428430
1040697475840
1116294733a5a
127a79604000
133ab7719a68
141d810898c0
1510d2d5b560
hex979c23300

40697475840 has 288 divisors, whose sum is σ = 165051855360. Its totient is φ = 9302224896.

The previous prime is 40697475829. The next prime is 40697475857. The reversal of 40697475840 is 4857479604.

40697475840 is a `hidden beast` number, since 4 + 0 + 6 + 97 + 475 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157807 + ... + 326033.

It is an arithmetic number, because the mean of its divisors is an integer number (573096720).

Almost surely, 240697475840 is an apocalyptic number.

40697475840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40697475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82525927680).

40697475840 is an abundant number, since it is smaller than the sum of its proper divisors (124354379520).

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

40697475840 is a wasteful number, since it uses less digits than its factorization.

40697475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168264 (or 168244 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 40697475840 in words is "forty billion, six hundred ninety-seven million, four hundred seventy-five thousand, eight hundred forty".