199025942400 has 864 divisors, whose sum is σ = 778370884200. Its totient is φ = 50209320960.

The previous prime is 199025942371. The next prime is 199025942413. The reversal of 199025942400 is 4249520991.

199025942400 is a `hidden beast` number, since 19 + 9 + 0 + 2 + 594 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×199025942400² (a number of 23 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 280713246 + ... + 280713954.

Almost surely, 2^199025942400 is an apocalyptic number.

199025942400 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 199025942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389185442100).

199025942400 is an abundant number, since it is smaller than the sum of its proper divisors (579344941800).

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

199025942400 is an equidigital number, since it uses as much as digits as its factorization.

199025942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 199025942400 in words is "one hundred ninety-nine billion, twenty-five million, nine hundred forty-two thousand, four hundred".