115202145414400 has 648 divisors, whose sum is σ = 323248017247232. Its totient is φ = 40593788928000.

The previous prime is 115202145414373. The next prime is 115202145414401. The reversal of 115202145414400 is 4414541202511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115202145414401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4228984780 + ... + 4229012020.

Almost surely, 2^{115202145414400} is an apocalyptic number.

115202145414400 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 115202145414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161624008623616).

115202145414400 is an abundant number, since it is smaller than the sum of its proper divisors (208045871832832).

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

115202145414400 is a wasteful number, since it uses less digits than its factorization.

115202145414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27459 (or 27429 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

Adding to 115202145414400 its reverse (4414541202511), we get a palindrome (119616686616911).

The spelling of 115202145414400 in words is "one hundred fifteen trillion, two hundred two billion, one hundred forty-five million, four hundred fourteen thousand, four hundred".