221134082400 has 2592 divisors, whose sum is σ = 1089200286720. Its totient is φ = 42699571200.

The previous prime is 221134082359. The next prime is 221134082437. The reversal of 221134082400 is 4280431122.

221134082400 is a `hidden beast` number, since 2 + 2 + 1 + 13 + 408 + 240 + 0 = 666.

221134082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2799165561 + ... + 2799165639.

It is an arithmetic number, because the mean of its divisors is an integer number (420216160).

Almost surely, 2^221134082400 is an apocalyptic number.

221134082400 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 221134082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544600143360).

221134082400 is an abundant number, since it is smaller than the sum of its proper divisors (868066204320).

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

221134082400 is a wasteful number, since it uses less digits than its factorization.

221134082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 221134082400 in words is "two hundred twenty-one billion, one hundred thirty-four million, eighty-two thousand, four hundred".