189141242400 has 576 divisors, whose sum is σ = 770350694400. Its totient is φ = 44371584000.

The previous prime is 189141242399. The next prime is 189141242401. The reversal of 189141242400 is 4242141981.

189141242400 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 4 + 1 + 242 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (189141242399) and next prime (189141242401).

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

It is not an unprimeable number, because it can be changed into a prime (189141242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7352761 + ... + 7378439.

It is an arithmetic number, because the mean of its divisors is an integer number (1337414400).

Almost surely, 2^189141242400 is an apocalyptic number.

189141242400 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 189141242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385175347200).

189141242400 is an abundant number, since it is smaller than the sum of its proper divisors (581209452000).

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

189141242400 is a wasteful number, since it uses less digits than its factorization.

189141242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25750 (or 25731 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 189141242400 in words is "one hundred eighty-nine billion, one hundred forty-one million, two hundred forty-two thousand, four hundred".