189430388640 has 192 divisors, whose sum is σ = 663393265920. Its totient is φ = 50485294080.

The previous prime is 189430388639. The next prime is 189430388671. The reversal of 189430388640 is 46883034981.

189430388640 is a `hidden beast` number, since 189 + 43 + 0 + 388 + 6 + 40 = 666.

189430388640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×189430388640³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7967170 + ... + 7990910.

It is an arithmetic number, because the mean of its divisors is an integer number (3455173260).

Almost surely, 2^189430388640 is an apocalyptic number.

189430388640 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 189430388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331696632960).

189430388640 is an abundant number, since it is smaller than the sum of its proper divisors (473962877280).

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

189430388640 is a wasteful number, since it uses less digits than its factorization.

189430388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25612 (or 25598 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 189430388640 in words is "one hundred eighty-nine billion, four hundred thirty million, three hundred eighty-eight thousand, six hundred forty".