129410944256 has 108 divisors (see below), whose sum is σ = 291611018916. Its totient is φ = 57232834560.

The previous prime is 129410944241. The next prime is 129410944303. The reversal of 129410944256 is 652449014921.

It can be written as a sum of positive squares in 2 ways, for example, as 111235590400 + 18175353856 = 333520^2 + 134816^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 129410944256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089656 + ... + 1202568.

It is an arithmetic number, because the mean of its divisors is an integer number (2700102027).

Almost surely, 2^129410944256 is an apocalyptic number.

129410944256 is a gapful number since it is divisible by the number (16) 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 129410944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145805509458).

129410944256 is an abundant number, since it is smaller than the sum of its proper divisors (162200074660).

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

129410944256 is a wasteful number, since it uses less digits than its factorization.

129410944256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112988 (or 112963 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 129410944256 in words is "one hundred twenty-nine billion, four hundred ten million, nine hundred forty-four thousand, two hundred fifty-six".