431121265113640 has 32 divisors (see below), whose sum is σ = 1003471910181000. Its totient is φ = 166502005836544.

The previous prime is 431121265113593. The next prime is 431121265113731. The reversal of 431121265113640 is 46311562121134.

It can be written as a sum of positive squares in 4 ways, for example, as 406833498772996 + 24287766340644 = 20170114^2 + 4928262^2 .

It is a super-2 number, since 2×431121265113640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 431121265113593 and 431121265113602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185828130355 + ... + 185828132674.

Almost surely, 2^{431121265113640} is an apocalyptic number.

431121265113640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431121265113640 is an abundant number, since it is smaller than the sum of its proper divisors (572350645067360).

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

431121265113640 is a wasteful number, since it uses less digits than its factorization.

431121265113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371656263069 (or 371656263065 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 431121265113640 in words is "four hundred thirty-one trillion, one hundred twenty-one billion, two hundred sixty-five million, one hundred thirteen thousand, six hundred forty".