20924400714912 has 240 divisors, whose sum is σ = 62166258266112. Its totient is φ = 6903669035520.

The previous prime is 20924400714751. The next prime is 20924400714947. The reversal of 20924400714912 is 21941700442902.

20924400714912 is a `hidden beast` number, since 2 + 0 + 92 + 4 + 4 + 0 + 0 + 71 + 491 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 571577313 + ... + 571613919.

Almost surely, 2^{20924400714912} 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 20924400714912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31083129133056).

20924400714912 is an abundant number, since it is smaller than the sum of its proper divisors (41241857551200).

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

20924400714912 is a wasteful number, since it uses less digits than its factorization.

20924400714912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38873 (or 38856 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20924400714912 in words is "twenty trillion, nine hundred twenty-four billion, four hundred million, seven hundred fourteen thousand, nine hundred twelve".