21424798936464 has 320 divisors, whose sum is σ = 72663920640000. Its totient is φ = 5269994334720.

The previous prime is 21424798936441. The next prime is 21424798936493. The reversal of 21424798936464 is 46463989742412.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 189478057 + ... + 189591095.

It is an arithmetic number, because the mean of its divisors is an integer number (227074752000).

Almost surely, 2^{21424798936464} is an apocalyptic number.

21424798936464 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 21424798936464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36331960320000).

21424798936464 is an abundant number, since it is smaller than the sum of its proper divisors (51239121703536).

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

21424798936464 is a wasteful number, since it uses less digits than its factorization.

21424798936464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115786 (or 115780 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 69.

The spelling of 21424798936464 in words is "twenty-one trillion, four hundred twenty-four billion, seven hundred ninety-eight million, nine hundred thirty-six thousand, four hundred sixty-four".