220542134400 has 1152 divisors, whose sum is σ = 963498332160. Its totient is φ = 48746188800.

The previous prime is 220542134387. The next prime is 220542134441. The reversal of 220542134400 is 4431245022.

220542134400 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 4 + 213 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168738547 + ... + 168739853.

It is an arithmetic number, because the mean of its divisors is an integer number (836370080).

Almost surely, 2^220542134400 is an apocalyptic number.

220542134400 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 220542134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481749166080).

220542134400 is an abundant number, since it is smaller than the sum of its proper divisors (742956197760).

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

220542134400 is a wasteful number, since it uses less digits than its factorization.

220542134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 220542134400 its reverse (4431245022), we get a palindrome (224973379422).

The spelling of 220542134400 in words is "two hundred twenty billion, five hundred forty-two million, one hundred thirty-four thousand, four hundred".