21419834970624 has 320 divisors, whose sum is σ = 61280171568000. Its totient is φ = 6628389027840.

The previous prime is 21419834970607. The next prime is 21419834970629. The reversal of 21419834970624 is 42607943891412.

It is not an unprimeable number, because it can be changed into a prime (21419834970629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478857892 + ... + 478902620.

It is an arithmetic number, because the mean of its divisors is an integer number (191500536150).

Almost surely, 2^{21419834970624} is an apocalyptic number.

21419834970624 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 21419834970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640085784000).

21419834970624 is an abundant number, since it is smaller than the sum of its proper divisors (39860336597376).

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

21419834970624 is a wasteful number, since it uses less digits than its factorization.

21419834970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45099 (or 45083 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 21419834970624 in words is "twenty-one trillion, four hundred nineteen billion, eight hundred thirty-four million, nine hundred seventy thousand, six hundred twenty-four".