21294912038400 has 8640 divisors, whose sum is σ = 115215161757696. Its totient is φ = 3678732288000.

The previous prime is 21294912038311. The next prime is 21294912038417. The reversal of 21294912038400 is 483021949212.

21294912038400 is a `hidden beast` number, since 2 + 1 + 2 + 94 + 9 + 120 + 38 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 575538163182 + ... + 575538163218.

Almost surely, 2^{21294912038400} is an apocalyptic number.

21294912038400 is a gapful number since it is divisible by the number (20) 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 21294912038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607580878848).

21294912038400 is an abundant number, since it is smaller than the sum of its proper divisors (93920249719296).

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

21294912038400 is a wasteful number, since it uses less digits than its factorization.

21294912038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 21294912038400 in words is "twenty-one trillion, two hundred ninety-four billion, nine hundred twelve million, thirty-eight thousand, four hundred".