21214424604032 has 256 divisors, whose sum is σ = 48409124014080. Its totient is φ = 9173118689280.

The previous prime is 21214424604001. The next prime is 21214424604077. The reversal of 21214424604032 is 23040642441212.

It is a super-2 number, since 2×21214424604032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21214424603983 and 21214424604001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2676219653 + ... + 2676227579.

It is an arithmetic number, because the mean of its divisors is an integer number (189098140680).

Almost surely, 2^{21214424604032} is an apocalyptic number.

21214424604032 is a gapful number since it is divisible by the number (22) 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 21214424604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24204562007040).

21214424604032 is an abundant number, since it is smaller than the sum of its proper divisors (27194699410048).

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

21214424604032 is a wasteful number, since it uses less digits than its factorization.

21214424604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 21214424604032 in words is "twenty-one trillion, two hundred fourteen billion, four hundred twenty-four million, six hundred four thousand, thirty-two".