199644436832400 has 480 divisors, whose sum is σ = 820139252371200. Its totient is φ = 45181200384000.

The previous prime is 199644436832377. The next prime is 199644436832413. The reversal of 199644436832400 is 4238634446991.

199644436832400 is a `hidden beast` number, since 1 + 9 + 9 + 64 + 443 + 68 + 32 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 5437665 + ... + 20708864.

It is an arithmetic number, because the mean of its divisors is an integer number (1708623442440).

Almost surely, 2^{199644436832400} is an apocalyptic number.

199644436832400 is a gapful number since it is divisible by the number (10) 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 199644436832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410069626185600).

199644436832400 is an abundant number, since it is smaller than the sum of its proper divisors (620494815538800).

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

199644436832400 is a wasteful number, since it uses less digits than its factorization.

199644436832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26146664 (or 26146647 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 199644436832400 in words is "one hundred ninety-nine trillion, six hundred forty-four billion, four hundred thirty-six million, eight hundred thirty-two thousand, four hundred".