129240432980400 has 480 divisors, whose sum is σ = 498180075148800. Its totient is φ = 27978327244800.

The previous prime is 129240432980383. The next prime is 129240432980539. The reversal of 129240432980400 is 4089234042921.

It is a super-2 number, since 2×129240432980400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 129240432980400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600147946 + ... + 600363254.

It is an arithmetic number, because the mean of its divisors is an integer number (1037875156560).

Almost surely, 2^{129240432980400} is an apocalyptic number.

129240432980400 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 129240432980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249090037574400).

129240432980400 is an abundant number, since it is smaller than the sum of its proper divisors (368939642168400).

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

129240432980400 is a wasteful number, since it uses less digits than its factorization.

129240432980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219117 (or 219106 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 129240432980400 in words is "one hundred twenty-nine trillion, two hundred forty billion, four hundred thirty-two million, nine hundred eighty thousand, four hundred".