31112919152640 has 576 divisors, whose sum is σ = 116451622123200. Its totient is φ = 7637126086656.

The previous prime is 31112919152629. The next prime is 31112919152669. The reversal of 31112919152640 is 4625191921113.

31112919152640 is a `hidden beast` number, since 3 + 1 + 11 + 29 + 1 + 91 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430074552 + ... + 430146888.

It is an arithmetic number, because the mean of its divisors is an integer number (202172955075).

Almost surely, 2^{31112919152640} is an apocalyptic number.

31112919152640 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 31112919152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58225811061600).

31112919152640 is an abundant number, since it is smaller than the sum of its proper divisors (85338702970560).

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

31112919152640 is a wasteful number, since it uses less digits than its factorization.

31112919152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72742 (or 72719 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 31112919152640 in words is "thirty-one trillion, one hundred twelve billion, nine hundred nineteen million, one hundred fifty-two thousand, six hundred forty".