199230908400 has 360 divisors, whose sum is σ = 735332583024. Its totient is φ = 49779302400.

The previous prime is 199230908369. The next prime is 199230908411. The reversal of 199230908400 is 4809032991.

199230908400 is a `hidden beast` number, since 1 + 9 + 9 + 230 + 9 + 0 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13885230 + ... + 13899570.

Almost surely, 2^199230908400 is an apocalyptic number.

199230908400 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 199230908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367666291512).

199230908400 is an abundant number, since it is smaller than the sum of its proper divisors (536101674624).

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

199230908400 is a wasteful number, since it uses less digits than its factorization.

199230908400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14609 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 199230908400 in words is "one hundred ninety-nine billion, two hundred thirty million, nine hundred eight thousand, four hundred".