31150507440 has 160 divisors (see below), whose sum is σ = 105420127680. Its totient is φ = 7562723328.

The previous prime is 31150507417. The next prime is 31150507469. The reversal of 31150507440 is 4470505113.

It is a super-2 number, since 2×31150507440² (a number of 22 digits) contains 22 as substring.

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 = 31150507398 and 31150507407.

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, 159376 + ... + 296144.

It is an arithmetic number, because the mean of its divisors is an integer number (658875798).

Almost surely, 2^31150507440 is an apocalyptic number.

31150507440 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 31150507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52710063840).

31150507440 is an abundant number, since it is smaller than the sum of its proper divisors (74269620240).

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

31150507440 is a wasteful number, since it uses less digits than its factorization.

31150507440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136871 (or 136865 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 31150507440 in words is "thirty-one billion, one hundred fifty million, five hundred seven thousand, four hundred forty".