159929414400 has 1296 divisors, whose sum is σ = 676119225600. Its totient is φ = 33040465920.

The previous prime is 159929414389. The next prime is 159929414417. The reversal of 159929414400 is 4414929951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 159929414400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 411129406 + ... + 411129794.

Almost surely, 2^159929414400 is an apocalyptic number.

159929414400 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 159929414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338059612800).

159929414400 is an abundant number, since it is smaller than the sum of its proper divisors (516189811200).

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

159929414400 is a wasteful number, since it uses less digits than its factorization.

159929414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 159929414400 in words is "one hundred fifty-nine billion, nine hundred twenty-nine million, four hundred fourteen thousand, four hundred".