115321004350400 has 336 divisors, whose sum is σ = 312991288346880. Its totient is φ = 41628996403200.

The previous prime is 115321004350397. The next prime is 115321004350457. The reversal of 115321004350400 is 4053400123511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91281434 + ... + 92536166.

Almost surely, 2^{115321004350400} is an apocalyptic number.

115321004350400 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 115321004350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156495644173440).

115321004350400 is an abundant number, since it is smaller than the sum of its proper divisors (197670283996480).

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

115321004350400 is a wasteful number, since it uses less digits than its factorization.

115321004350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254912 (or 1254897 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 115321004350400 its reverse (4053400123511), we get a palindrome (119374404473911).

The spelling of 115321004350400 in words is "one hundred fifteen trillion, three hundred twenty-one billion, four million, three hundred fifty thousand, four hundred".