20938001414400 has 324 divisors, whose sum is σ = 85552093815552. Its totient is φ = 4785828802560.

The previous prime is 20938001414371. The next prime is 20938001414437. The reversal of 20938001414400 is 441410083902.

It is a happy number.

20938001414400 is a `hidden beast` number, since 20 + 93 + 8 + 0 + 0 + 141 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25561584 + ... + 26367983.

Almost surely, 2^{20938001414400} is an apocalyptic number.

20938001414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20938001414400 is an abundant number, since it is smaller than the sum of its proper divisors (64614092401152).

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

20938001414400 is a wasteful number, since it uses less digits than its factorization.

20938001414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51929606 (or 51929584 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20938001414400 in words is "twenty trillion, nine hundred thirty-eight billion, one million, four hundred fourteen thousand, four hundred".