159411901440 has 352 divisors, whose sum is σ = 562523460480. Its totient is φ = 38207488000.

The previous prime is 159411901343. The next prime is 159411901447. The reversal of 159411901440 is 44109114951.

It is a happy number.

159411901440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159411901447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15032140 + ... + 15042740.

Almost surely, 2^159411901440 is an apocalyptic number.

159411901440 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 159411901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281261730240).

159411901440 is an abundant number, since it is smaller than the sum of its proper divisors (403111559040).

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

159411901440 is a wasteful number, since it uses less digits than its factorization.

159411901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 159411901440 in words is "one hundred fifty-nine billion, four hundred eleven million, nine hundred one thousand, four hundred forty".