129413965824 has 576 divisors, whose sum is σ = 451323774720. Its totient is φ = 35194798080.

The previous prime is 129413965817. The next prime is 129413965847. The reversal of 129413965824 is 428569314921.

It is a happy number.

129413965824 is a `hidden beast` number, since 1 + 29 + 4 + 1 + 39 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 97523049 + ... + 97524375.

It is an arithmetic number, because the mean of its divisors is an integer number (783548220).

Almost surely, 2^129413965824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129413965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225661887360).

129413965824 is an abundant number, since it is smaller than the sum of its proper divisors (321909808896).

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

129413965824 is a wasteful number, since it uses less digits than its factorization.

129413965824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1393 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 129413965824 in words is "one hundred twenty-nine billion, four hundred thirteen million, nine hundred sixty-five thousand, eight hundred twenty-four".