21423197390400 has 2835 divisors, whose sum is σ = 91259402311539. Its totient is φ = 4926818856960.

The previous prime is 21423197390369. The next prime is 21423197390429. The reversal of 21423197390400 is 409379132412.

The square root of 21423197390400 is 4628520.

It is a perfect power (a square), and thus also a powerful number.

21423197390400 is a `hidden beast` number, since 2 + 1 + 4 + 23 + 197 + 39 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5521860818496 + 15901336571904 = 2349864^2 + 3987648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 498213892779 + ... + 498213892821.

Almost surely, 2^{21423197390400} is an apocalyptic number.

21423197390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21423197390400 is the 4628520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21423197390400

21423197390400 is an abundant number, since it is smaller than the sum of its proper divisors (69836204921139).

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

21423197390400 is a wasteful number, since it uses less digits than its factorization.

21423197390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 89 counting only the distinct ones).

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

The spelling of 21423197390400 in words is "twenty-one trillion, four hundred twenty-three billion, one hundred ninety-seven million, three hundred ninety thousand, four hundred".