21744041642631 has 160 divisors (see below), whose sum is σ = 44481659904000. Its totient is φ = 10235833945920.

The previous prime is 21744041642627. The next prime is 21744041642647. The reversal of 21744041642631 is 13624614044712.

21744041642631 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 4 + 0 + 4 + 1 + 6 + 4 + 2 + 631 = 666.

It is not a de Polignac number, because 21744041642631 - 2² = 21744041642627 is a prime.

It is a super-2 number, since 2×21744041642631² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21744041642611) 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 159 ways as a sum of consecutive naturals, for example, 1263331 + ... + 6714468.

It is an arithmetic number, because the mean of its divisors is an integer number (278010374400).

Almost surely, 2^{21744041642631} is an apocalyptic number.

21744041642631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21744041642631 is an abundant number, since it is smaller than the sum of its proper divisors (22737618261369).

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

21744041642631 is a wasteful number, since it uses less digits than its factorization.

21744041642631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977871 (or 7977862 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 21744041642631 in words is "twenty-one trillion, seven hundred forty-four billion, forty-one million, six hundred forty-two thousand, six hundred thirty-one".