165934901440 has 672 divisors, whose sum is σ = 518022376704. Its totient is φ = 50043248640.

The previous prime is 165934901389. The next prime is 165934901477. The reversal of 165934901440 is 44109439561.

165934901440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 959161194 + ... + 959161366.

It is an arithmetic number, because the mean of its divisors is an integer number (770866632).

Almost surely, 2^165934901440 is an apocalyptic number.

165934901440 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 165934901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259011188352).

165934901440 is an abundant number, since it is smaller than the sum of its proper divisors (352087475264).

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

165934901440 is a wasteful number, since it uses less digits than its factorization.

165934901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 165934901440 in words is "one hundred sixty-five billion, nine hundred thirty-four million, nine hundred one thousand, four hundred forty".