189669997440 has 768 divisors, whose sum is σ = 843913728000. Its totient is φ = 39408906240.

The previous prime is 189669997411. The next prime is 189669997471. The reversal of 189669997440 is 44799966981.

189669997440 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 6 + 99 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 14629681 + ... + 14642639.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846000).

Almost surely, 2^189669997440 is an apocalyptic number.

189669997440 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 189669997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421956864000).

189669997440 is an abundant number, since it is smaller than the sum of its proper divisors (654243730560).

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

189669997440 is a wasteful number, since it uses less digits than its factorization.

189669997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 189669997440 in words is "one hundred eighty-nine billion, six hundred sixty-nine million, nine hundred ninety-seven thousand, four hundred forty".