31461007679040 has 112 divisors (see below), whose sum is σ = 103333137382080. Its totient is φ = 8100305418240.

The previous prime is 31461007678979. The next prime is 31461007679071. The reversal of 31461007679040 is 4097670016413.

It is a super-2 number, since 2×31461007679040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 565004626 + ... + 565060305.

Almost surely, 2^{31461007679040} is an apocalyptic number.

31461007679040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31461007679040 is an abundant number, since it is smaller than the sum of its proper divisors (71872129703040).

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

31461007679040 is a wasteful number, since it uses less digits than its factorization.

31461007679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130064980 (or 1130064970 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 31461007679040 in words is "thirty-one trillion, four hundred sixty-one billion, seven million, six hundred seventy-nine thousand, forty".