129493398798400 has 672 divisors, whose sum is σ = 395777471120640. Its totient is φ = 40606285824000.

The previous prime is 129493398798367. The next prime is 129493398798403. The reversal of 129493398798400 is 4897893394921.

It is a happy number.

It is a super-2 number, since 2×129493398798400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129493398798403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10544200260 + ... + 10544212540.

It is an arithmetic number, because the mean of its divisors is an integer number (588954570120).

Almost surely, 2^{129493398798400} is an apocalyptic number.

129493398798400 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 129493398798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197888735560320).

129493398798400 is an abundant number, since it is smaller than the sum of its proper divisors (266284072322240).

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

129493398798400 is a wasteful number, since it uses less digits than its factorization.

129493398798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12983 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 76.

The spelling of 129493398798400 in words is "one hundred twenty-nine trillion, four hundred ninety-three billion, three hundred ninety-eight million, seven hundred ninety-eight thousand, four hundred".