129614400400 has 135 divisors (see below), whose sum is σ = 318997954321. Its totient is φ = 50610171520.

The previous prime is 129614400397. The next prime is 129614400401. The reversal of 129614400400 is 4004416921.

The square root of 129614400400 is 360020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46661184144 + 82953216256 = 216012^2 + 288016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129614400401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338418609 + ... + 338418991.

Almost surely, 2^129614400400 is an apocalyptic number.

129614400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129614400400 is the 360020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129614400400

129614400400 is an abundant number, since it is smaller than the sum of its proper divisors (189383553921).

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

129614400400 is an frugal number, since it uses more digits than its factorization.

129614400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 129614400400 in words is "one hundred twenty-nine billion, six hundred fourteen million, four hundred thousand, four hundred".