31665080993040 has 2880 divisors, whose sum is σ = 137239236126720. Its totient is φ = 6736678502400.

The previous prime is 31665080992973. The next prime is 31665080993041. The reversal of 31665080993040 is 4039908056613.

31665080993040 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 508 + 0 + 9 + 93 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31665080993041) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 53943919627 + ... + 53943920213.

It is an arithmetic number, because the mean of its divisors is an integer number (47652512544).

Almost surely, 2^{31665080993040} is an apocalyptic number.

31665080993040 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 31665080993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68619618063360).

31665080993040 is an abundant number, since it is smaller than the sum of its proper divisors (105574155133680).

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

31665080993040 is a wasteful number, since it uses less digits than its factorization.

31665080993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 31665080993040 in words is "thirty-one trillion, six hundred sixty-five billion, eighty million, nine hundred ninety-three thousand, forty".