31161940894080 has 640 divisors, whose sum is σ = 119999296216800. Its totient is φ = 7680468418560.

The previous prime is 31161940894069. The next prime is 31161940894093. The reversal of 31161940894080 is 8049804916113.

31161940894080 is a `hidden beast` number, since 3 + 11 + 61 + 9 + 408 + 94 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×31161940894080² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39997534 + ... + 40769186.

Almost surely, 2^{31161940894080} is an apocalyptic number.

31161940894080 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 31161940894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59999648108400).

31161940894080 is an abundant number, since it is smaller than the sum of its proper divisors (88837355322720).

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

31161940894080 is a wasteful number, since it uses less digits than its factorization.

31161940894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771744 (or 771723 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 31161940894080 in words is "thirty-one trillion, one hundred sixty-one billion, nine hundred forty million, eight hundred ninety-four thousand, eighty".