31314554040 has 256 divisors, whose sum is σ = 118609920000. Its totient is φ = 6424404480.

The previous prime is 31314554039. The next prime is 31314554053. The reversal of 31314554040 is 4045541313.

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 = 31314553989 and 31314554007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708511 + ... + 751409.

It is an arithmetic number, because the mean of its divisors is an integer number (463320000).

Almost surely, 2^31314554040 is an apocalyptic number.

31314554040 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 31314554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304960000).

31314554040 is an abundant number, since it is smaller than the sum of its proper divisors (87295365960).

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

31314554040 is a wasteful number, since it uses less digits than its factorization.

31314554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43010 (or 43006 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 31314554040 in words is "thirty-one billion, three hundred fourteen million, five hundred fifty-four thousand, forty".