31082015040 has 224 divisors, whose sum is σ = 100172007936. Its totient is φ = 8164638720.

The previous prime is 31082015021. The next prime is 31082015077. The reversal of 31082015040 is 4051028013.

It is a super-3 number, since 3×31082015040³ (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31082015040.

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, 19634089 + ... + 19635671.

It is an arithmetic number, because the mean of its divisors is an integer number (447196464).

Almost surely, 2^31082015040 is an apocalyptic number.

31082015040 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 31082015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086003968).

31082015040 is an abundant number, since it is smaller than the sum of its proper divisors (69089992896).

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

31082015040 is a wasteful number, since it uses less digits than its factorization.

31082015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 31082015040 in words is "thirty-one billion, eighty-two million, fifteen thousand, forty".