220453973222400 has 1584 divisors, whose sum is σ = 850499652038400. Its totient is φ = 56512016547840.

The previous prime is 220453973222383. The next prime is 220453973222443. The reversal of 220453973222400 is 4222379354022.

220453973222400 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 5 + 397 + 32 + 224 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 43116362244 + ... + 43116367356.

Almost surely, 2^{220453973222400} is an apocalyptic number.

220453973222400 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 220453973222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425249826019200).

220453973222400 is an abundant number, since it is smaller than the sum of its proper divisors (630045678816000).

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

220453973222400 is a wasteful number, since it uses less digits than its factorization.

220453973222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 220453973222400 in words is "two hundred twenty trillion, four hundred fifty-three billion, nine hundred seventy-three million, two hundred twenty-two thousand, four hundred".