129400104960 has 2304 divisors, whose sum is σ = 618173337600. Its totient is φ = 25225592832.

The previous prime is 129400104929. The next prime is 129400104971. The reversal of 129400104960 is 69401004921.

It is a happy number.

129400104960 is a `hidden beast` number, since 129 + 40 + 0 + 1 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 5626091509 + ... + 5626091531.

It is an arithmetic number, because the mean of its divisors is an integer number (268304400).

Almost surely, 2^129400104960 is an apocalyptic number.

129400104960 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 129400104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309086668800).

129400104960 is an abundant number, since it is smaller than the sum of its proper divisors (488773232640).

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

129400104960 is a wasteful number, since it uses less digits than its factorization.

129400104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 129400104960 in words is "one hundred twenty-nine billion, four hundred million, one hundred four thousand, nine hundred sixty".