129214310400 has 720 divisors, whose sum is σ = 547074047520. Its totient is φ = 29528064000.

The previous prime is 129214310387. The next prime is 129214310411. The reversal of 129214310400 is 4013412921.

It is a happy number.

129214310400 is a `hidden beast` number, since 12 + 9 + 214 + 31 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29028175 + ... + 29032625.

It is an arithmetic number, because the mean of its divisors is an integer number (759825066).

Almost surely, 2^129214310400 is an apocalyptic number.

129214310400 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 129214310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273537023760).

129214310400 is an abundant number, since it is smaller than the sum of its proper divisors (417859737120).

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

129214310400 is an equidigital number, since it uses as much as digits as its factorization.

129214310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 129214310400 in words is "one hundred twenty-nine billion, two hundred fourteen million, three hundred ten thousand, four hundred".