129032042400 has 432 divisors, whose sum is σ = 475876791936. Its totient is φ = 32836700160.

The previous prime is 129032042327. The next prime is 129032042401. The reversal of 129032042400 is 4240230921.

129032042400 is a `hidden beast` number, since 12 + 90 + 320 + 4 + 240 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (129032042401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121384269 + ... + 121385331.

It is an arithmetic number, because the mean of its divisors is an integer number (1101566648).

Almost surely, 2^129032042400 is an apocalyptic number.

129032042400 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 129032042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237938395968).

129032042400 is an abundant number, since it is smaller than the sum of its proper divisors (346844749536).

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

129032042400 is a wasteful number, since it uses less digits than its factorization.

129032042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 129032042400 in words is "one hundred twenty-nine billion, thirty-two million, forty-two thousand, four hundred".