220638641400 has 72 divisors (see below), whose sum is σ = 740978110080. Its totient is φ = 58836970560.

The previous prime is 220638641347. The next prime is 220638641477. The reversal of 220638641400 is 4146836022.

220638641400 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 3 + 8 + 641 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61286712 + ... + 61290311.

It is an arithmetic number, because the mean of its divisors is an integer number (10291362640).

Almost surely, 2^220638641400 is an apocalyptic number.

220638641400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220638641400 is an abundant number, since it is smaller than the sum of its proper divisors (520339468680).

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

220638641400 is a wasteful number, since it uses less digits than its factorization.

220638641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122577045 (or 122577033 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 220638641400 in words is "two hundred twenty billion, six hundred thirty-eight million, six hundred forty-one thousand, four hundred".