31248769440 has 384 divisors, whose sum is σ = 115012638720. Its totient is φ = 6984142848.

The previous prime is 31248769429. The next prime is 31248769471. The reversal of 31248769440 is 4496784213.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 31248769440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56101642 + ... + 56102198.

It is an arithmetic number, because the mean of its divisors is an integer number (299512080).

Almost surely, 2^31248769440 is an apocalyptic number.

31248769440 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 31248769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57506319360).

31248769440 is an abundant number, since it is smaller than the sum of its proper divisors (83763869280).

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

31248769440 is a wasteful number, since it uses less digits than its factorization.

31248769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 31248769440 in words is "thirty-one billion, two hundred forty-eight million, seven hundred sixty-nine thousand, four hundred forty".