199470832370400 has 864 divisors, whose sum is σ = 710048988956160. Its totient is φ = 48482694512640.

The previous prime is 199470832370371. The next prime is 199470832370431. The reversal of 199470832370400 is 4073238074991.

It is a happy number.

It is a super-2 number, since 2×199470832370400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 143 ways as a sum of consecutive naturals, for example, 7460465832 + ... + 7460492568.

It is an arithmetic number, because the mean of its divisors is an integer number (821815959440).

Almost surely, 2^{199470832370400} is an apocalyptic number.

199470832370400 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 199470832370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355024494478080).

199470832370400 is an abundant number, since it is smaller than the sum of its proper divisors (510578156585760).

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

199470832370400 is a wasteful number, since it uses less digits than its factorization.

199470832370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26944 (or 26872 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 199470832370400 in words is "one hundred ninety-nine trillion, four hundred seventy billion, eight hundred thirty-two million, three hundred seventy thousand, four hundred".