129938342400 has 240 divisors, whose sum is σ = 476938149600. Its totient is φ = 34650132480.

The previous prime is 129938342399. The next prime is 129938342407. The reversal of 129938342400 is 4243839921.

129938342400 is a `hidden beast` number, since 1 + 29 + 9 + 383 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (129938342407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157611 + ... + 533589.

It is an arithmetic number, because the mean of its divisors is an integer number (1987242290).

Almost surely, 2^129938342400 is an apocalyptic number.

129938342400 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 129938342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238469074800).

129938342400 is an abundant number, since it is smaller than the sum of its proper divisors (346999807200).

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

129938342400 is an equidigital number, since it uses as much as digits as its factorization.

129938342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376016 (or 375989 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 129938342400 in words is "one hundred twenty-nine billion, nine hundred thirty-eight million, three hundred forty-two thousand, four hundred".