159428438400 has 864 divisors, whose sum is σ = 671670838440. Its totient is φ = 33116160000.

The previous prime is 159428438383. The next prime is 159428438401. The reversal of 159428438400 is 4834824951.

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 159428438400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159428438401) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 56917000 + ... + 56919800.

Almost surely, 2^159428438400 is an apocalyptic number.

159428438400 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 159428438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335835419220).

159428438400 is an abundant number, since it is smaller than the sum of its proper divisors (512242400040).

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

159428438400 is a wasteful number, since it uses less digits than its factorization.

159428438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 159428438400 in words is "one hundred fifty-nine billion, four hundred twenty-eight million, four hundred thirty-eight thousand, four hundred".