118129085750400 has 768 divisors, whose sum is σ = 401773704837120. Its totient is φ = 30489901056000.

The previous prime is 118129085750399. The next prime is 118129085750441. The reversal of 118129085750400 is 4057580921811.

It is a happy number.

118129085750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×118129085750400² (a number of 29 digits) contains 22 as substring.

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, 33360372630 + ... + 33360376170.

It is an arithmetic number, because the mean of its divisors is an integer number (523142844840).

Almost surely, 2^{118129085750400} is an apocalyptic number.

118129085750400 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 118129085750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200886852418560).

118129085750400 is an abundant number, since it is smaller than the sum of its proper divisors (283644619086720).

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

118129085750400 is a wasteful number, since it uses less digits than its factorization.

118129085750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The spelling of 118129085750400 in words is "one hundred eighteen trillion, one hundred twenty-nine billion, eighty-five million, seven hundred fifty thousand, four hundred".