31407065040 has 160 divisors (see below), whose sum is σ = 105890472576. Its totient is φ = 7654348800.

The previous prime is 31407065033. The next prime is 31407065149. The reversal of 31407065040 is 4056070413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31407064989 and 31407065007.

It is a congruent number.

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, 265287 + ... + 364953.

Almost surely, 2^31407065040 is an apocalyptic number.

31407065040 is a gapful number since it is divisible by the number (30) 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 31407065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52945236288).

31407065040 is an abundant number, since it is smaller than the sum of its proper divisors (74483407536).

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

31407065040 is a wasteful number, since it uses less digits than its factorization.

31407065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99797 (or 99791 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 31407065040 in words is "thirty-one billion, four hundred seven million, sixty-five thousand, forty".