199457962400 has 144 divisors (see below), whose sum is σ = 491364675648. Its totient is φ = 79059456000.

The previous prime is 199457962373. The next prime is 199457962441. The reversal of 199457962400 is 4269754991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40678349 + ... + 40683251.

It is an arithmetic number, because the mean of its divisors is an integer number (3412254692).

Almost surely, 2^199457962400 is an apocalyptic number.

199457962400 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 199457962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245682337824).

199457962400 is an abundant number, since it is smaller than the sum of its proper divisors (291906713248).

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

199457962400 is a wasteful number, since it uses less digits than its factorization.

199457962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 199457962400 in words is "one hundred ninety-nine billion, four hundred fifty-seven million, nine hundred sixty-two thousand, four hundred".