21434913792 has 352 divisors, whose sum is σ = 66499660800. Its totient is φ = 6812467200.

The previous prime is 21434913763. The next prime is 21434913803. The reversal of 21434913792 is 29731943412.

21434913792 is a `hidden beast` number, since 2 + 1 + 43 + 491 + 37 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76280692 + ... + 76280972.

Almost surely, 2^21434913792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21434913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33249830400).

21434913792 is an abundant number, since it is smaller than the sum of its proper divisors (45064747008).

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

21434913792 is a wasteful number, since it uses less digits than its factorization.

21434913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 21434913792 in words is "twenty-one billion, four hundred thirty-four million, nine hundred thirteen thousand, seven hundred ninety-two".