21313596440 has 64 divisors (see below), whose sum is σ = 48718108800. Its totient is φ = 8390573568.

The previous prime is 21313596401. The next prime is 21313596443. The reversal of 21313596440 is 4469531312.

It is a junction number, because it is equal to n+sod(n) for n = 21313596394 and 21313596403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313596443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991082 + ... + 1012358.

It is an arithmetic number, because the mean of its divisors is an integer number (761220450).

Almost surely, 2^21313596440 is an apocalyptic number.

21313596440 is a gapful number since it is divisible by the number (20) 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 21313596440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24359054400).

21313596440 is an abundant number, since it is smaller than the sum of its proper divisors (27404512360).

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

21313596440 is a wasteful number, since it uses less digits than its factorization.

21313596440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21684 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 21313596440 in words is "twenty-one billion, three hundred thirteen million, five hundred ninety-six thousand, four hundred forty".