31040742553632 has 480 divisors, whose sum is σ = 107194545013248. Its totient is φ = 8625592571904.

The previous prime is 31040742553507. The next prime is 31040742553633. The reversal of 31040742553632 is 23635524704013.

It is a happy number.

31040742553632 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 0 + 7 + 4 + 2 + 5 + 5 + 3 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (31040742553633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1964969158 + ... + 1964984954.

Almost surely, 2^{31040742553632} is an apocalyptic number.

31040742553632 is a gapful number since it is divisible by the number (32) 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 31040742553632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53597272506624).

31040742553632 is an abundant number, since it is smaller than the sum of its proper divisors (76153802459616).

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

31040742553632 is a wasteful number, since it uses less digits than its factorization.

31040742553632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790 (or 18773 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 31040742553632 in words is "thirty-one trillion, forty billion, seven hundred forty-two million, five hundred fifty-three thousand, six hundred thirty-two".