31004013040 has 960 divisors, whose sum is σ = 107723105280. Its totient is φ = 8128512000.

The previous prime is 31004012971. The next prime is 31004013067. The reversal of 31004013040 is 4031040013.

It is a super-2 number, since 2×31004013040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 436676205 + ... + 436676275.

It is an arithmetic number, because the mean of its divisors is an integer number (112211568).

Almost surely, 2^31004013040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31004013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53861552640).

31004013040 is an abundant number, since it is smaller than the sum of its proper divisors (76719092240).

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

31004013040 is a wasteful number, since it uses less digits than its factorization.

31004013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31004013040 its reverse (4031040013), we get a palindrome (35035053053).

The spelling of 31004013040 in words is "thirty-one billion, four million, thirteen thousand, forty".