220401518400 has 1680 divisors, whose sum is σ = 1014157089792. Its totient is φ = 45785088000.

The previous prime is 220401518377. The next prime is 220401518437. The reversal of 220401518400 is 4815104022.

220401518400 is a `hidden beast` number, since 2 + 204 + 0 + 1 + 51 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 478094170 + ... + 478094630.

Almost surely, 2^220401518400 is an apocalyptic number.

220401518400 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 220401518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507078544896).

220401518400 is an abundant number, since it is smaller than the sum of its proper divisors (793755571392).

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

220401518400 is a wasteful number, since it uses less digits than its factorization.

220401518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 220401518400 in words is "two hundred twenty billion, four hundred one million, five hundred eighteen thousand, four hundred".