199193999400 has 1152 divisors, whose sum is σ = 790117286400. Its totient is φ = 44884224000.

The previous prime is 199193999359. The next prime is 199193999437. The reversal of 199193999400 is 4999391991.

199193999400 is a `hidden beast` number, since 199 + 1 + 9 + 39 + 9 + 9 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3265475370 + ... + 3265475430.

It is an arithmetic number, because the mean of its divisors is an integer number (685865700).

Almost surely, 2^199193999400 is an apocalyptic number.

199193999400 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 199193999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395058643200).

199193999400 is an abundant number, since it is smaller than the sum of its proper divisors (590923287000).

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

199193999400 is a wasteful number, since it uses less digits than its factorization.

199193999400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6377292, while the sum is 63.

The spelling of 199193999400 in words is "one hundred ninety-nine billion, one hundred ninety-three million, nine hundred ninety-nine thousand, four hundred".