190172161478400 has 432 divisors, whose sum is σ = 636368751397344. Its totient is φ = 50008440176640.

The previous prime is 190172161478381. The next prime is 190172161478441. The reversal of 190172161478400 is 4874161271091.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515700484 + ... + 516069116.

Almost surely, 2^{190172161478400} is an apocalyptic number.

190172161478400 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 190172161478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318184375698672).

190172161478400 is an abundant number, since it is smaller than the sum of its proper divisors (446196589918944).

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

190172161478400 is a wasteful number, since it uses less digits than its factorization.

190172161478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369036 (or 369017 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 190172161478400 in words is "one hundred ninety trillion, one hundred seventy-two billion, one hundred sixty-one million, four hundred seventy-eight thousand, four hundred".