113414512202400 has 288 divisors, whose sum is σ = 378931170352896. Its totient is φ = 29453529600000.

The previous prime is 113414512202393. The next prime is 113414512202429. The reversal of 113414512202400 is 4202215414311.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10951305 + ... + 18621495.

It is an arithmetic number, because the mean of its divisors is an integer number (1315733230392).

Almost surely, 2^{113414512202400} is an apocalyptic number.

113414512202400 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 113414512202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189465585176448).

113414512202400 is an abundant number, since it is smaller than the sum of its proper divisors (265516658150496).

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

113414512202400 is a wasteful number, since it uses less digits than its factorization.

113414512202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670376 (or 7670363 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 113414512202400 its reverse (4202215414311), we get a palindrome (117616727616711).

The spelling of 113414512202400 in words is "one hundred thirteen trillion, four hundred fourteen billion, five hundred twelve million, two hundred two thousand, four hundred".