159229213440 has 1152 divisors, whose sum is σ = 634748534784. Its totient is φ = 33521664000.

The previous prime is 159229213433. The next prime is 159229213459. The reversal of 159229213440 is 44312922951.

It is a junction number, because it is equal to n+sod(n) for n = 159229213392 and 159229213401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511990885 + ... + 511991195.

It is an arithmetic number, because the mean of its divisors is an integer number (550996992).

Almost surely, 2^159229213440 is an apocalyptic number.

159229213440 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 159229213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317374267392).

159229213440 is an abundant number, since it is smaller than the sum of its proper divisors (475519321344).

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

159229213440 is a wasteful number, since it uses less digits than its factorization.

159229213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 159229213440 in words is "one hundred fifty-nine billion, two hundred twenty-nine million, two hundred thirteen thousand, four hundred forty".