31106911904640 has 1280 divisors, whose sum is σ = 130637058552000. Its totient is φ = 6954184212480.

The previous prime is 31106911904521. The next prime is 31106911904657. The reversal of 31106911904640 is 4640911960113.

31106911904640 is a `hidden beast` number, since 3 + 1 + 10 + 6 + 91 + 1 + 90 + 464 + 0 = 666.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14448169804 + ... + 14448171956.

Almost surely, 2^{31106911904640} is an apocalyptic number.

31106911904640 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 31106911904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318529276000).

31106911904640 is an abundant number, since it is smaller than the sum of its proper divisors (99530146647360).

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

31106911904640 is a wasteful number, since it uses less digits than its factorization.

31106911904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 31106911904640 in words is "thirty-one trillion, one hundred six billion, nine hundred eleven million, nine hundred four thousand, six hundred forty".