189321733440 has 672 divisors, whose sum is σ = 788187928320. Its totient is φ = 40744747008.

The previous prime is 189321733411. The next prime is 189321733457. The reversal of 189321733440 is 44337123981.

189321733440 is a `hidden beast` number, since 1 + 8 + 9 + 32 + 173 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66264492 + ... + 66267348.

Almost surely, 2^189321733440 is an apocalyptic number.

189321733440 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 189321733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394093964160).

189321733440 is an abundant number, since it is smaller than the sum of its proper divisors (598866194880).

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

189321733440 is a wasteful number, since it uses less digits than its factorization.

189321733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 189321 and 733440, that added together give a triangular number (922761 = T₁₃₅₈).

The spelling of 189321733440 in words is "one hundred eighty-nine billion, three hundred twenty-one million, seven hundred thirty-three thousand, four hundred forty".