113401652400 has 300 divisors, whose sum is σ = 411196593192. Its totient is φ = 29927854080.

The previous prime is 113401652387. The next prime is 113401652431. The reversal of 113401652400 is 4256104311.

It is a happy number.

113401652400 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 0 + 1 + 652 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3124759 + ... + 3160841.

Almost surely, 2^113401652400 is an apocalyptic number.

113401652400 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 113401652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205598296596).

113401652400 is an abundant number, since it is smaller than the sum of its proper divisors (297794940792).

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

113401652400 is a wasteful number, since it uses less digits than its factorization.

113401652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36210 (or 36190 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113401652400 its reverse (4256104311), we get a palindrome (117657756711).

The spelling of 113401652400 in words is "one hundred thirteen billion, four hundred one million, six hundred fifty-two thousand, four hundred".