31325160240 has 640 divisors, whose sum is σ = 123420672000. Its totient is φ = 7233408000.

The previous prime is 31325160233. The next prime is 31325160253. The reversal of 31325160240 is 4206152313.

31325160240 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 51 + 602 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52295461 + ... + 52296059.

It is an arithmetic number, because the mean of its divisors is an integer number (192844800).

Almost surely, 2^31325160240 is an apocalyptic number.

31325160240 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 31325160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61710336000).

31325160240 is an abundant number, since it is smaller than the sum of its proper divisors (92095511760).

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

31325160240 is a wasteful number, since it uses less digits than its factorization.

31325160240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 31325160240 in words is "thirty-one billion, three hundred twenty-five million, one hundred sixty thousand, two hundred forty".