189310300070400 has 1440 divisors, whose sum is σ = 715467005180928. Its totient is φ = 49564580659200.

The previous prime is 189310300070377. The next prime is 189310300070417. The reversal of 189310300070400 is 4070003013981.

It is a happy number.

189310300070400 is a `hidden beast` number, since 1 + 89 + 3 + 103 + 0 + 0 + 0 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43113252205 + ... + 43113256595.

Almost surely, 2^{189310300070400} is an apocalyptic number.

189310300070400 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 189310300070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357733502590464).

189310300070400 is an abundant number, since it is smaller than the sum of its proper divisors (526156705110528).

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

189310300070400 is an equidigital number, since it uses as much as digits as its factorization.

189310300070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 189310300070400 in words is "one hundred eighty-nine trillion, three hundred ten billion, three hundred million, seventy thousand, four hundred".