189379971996240 has 320 divisors, whose sum is σ = 640190720171520. Its totient is φ = 46117214945280.

The previous prime is 189379971996197. The next prime is 189379971996251. The reversal of 189379971996240 is 42699179973981.

It is a super-2 number, since 2×189379971996240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52447420 + ... + 55941860.

It is an arithmetic number, because the mean of its divisors is an integer number (2000596000536).

Almost surely, 2^{189379971996240} is an apocalyptic number.

189379971996240 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 189379971996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320095360085760).

189379971996240 is an abundant number, since it is smaller than the sum of its proper divisors (450810748175280).

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

189379971996240 is a wasteful number, since it uses less digits than its factorization.

189379971996240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494870 (or 3494864 counting only the distinct ones).

The product of its (nonzero) digits is 3333197952, while the sum is 84.

The spelling of 189379971996240 in words is "one hundred eighty-nine trillion, three hundred seventy-nine billion, nine hundred seventy-one million, nine hundred ninety-six thousand, two hundred forty".