189936901440 has 336 divisors, whose sum is σ = 767519415936. Its totient is φ = 42503270400.

The previous prime is 189936901433. The next prime is 189936901477. The reversal of 189936901440 is 44109639981.

It is a happy number.

189936901440 is a `hidden beast` number, since 1 + 89 + 9 + 36 + 90 + 1 + 440 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 181245 + ... + 642435.

It is an arithmetic number, because the mean of its divisors is an integer number (2284283976).

Almost surely, 2^189936901440 is an apocalyptic number.

189936901440 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 189936901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383759707968).

189936901440 is an abundant number, since it is smaller than the sum of its proper divisors (577582514496).

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

189936901440 is a wasteful number, since it uses less digits than its factorization.

189936901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461238 (or 461225 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 189936901440 in words is "one hundred eighty-nine billion, nine hundred thirty-six million, nine hundred one thousand, four hundred forty".