21240658944 has 176 divisors, whose sum is σ = 63368569600. Its totient is φ = 7028011008.

The previous prime is 21240658939. The next prime is 21240658969. The reversal of 21240658944 is 44985604212.

It is a happy number.

21240658944 is a `hidden beast` number, since 2 + 1 + 24 + 0 + 6 + 589 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21240658944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3840309 + ... + 3845835.

Almost surely, 2^21240658944 is an apocalyptic number.

21240658944 is a gapful number since it is divisible by the number (24) 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 21240658944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31684284800).

21240658944 is an abundant number, since it is smaller than the sum of its proper divisors (42127910656).

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

21240658944 is a wasteful number, since it uses less digits than its factorization.

21240658944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21240658944 in words is "twenty-one billion, two hundred forty million, six hundred fifty-eight thousand, nine hundred forty-four".