113400410024000 has 224 divisors, whose sum is σ = 309525113963520. Its totient is φ = 40811390976000.

The previous prime is 113400410023969. The next prime is 113400410024003. The reversal of 113400410024000 is 420014004311.

It is a super-2 number, since 2×113400410024000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113400410024003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1893521 + ... + 15178479.

It is an arithmetic number, because the mean of its divisors is an integer number (1381808544480).

Almost surely, 2^{113400410024000} is an apocalyptic number.

113400410024000 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 113400410024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154762556981760).

113400410024000 is an abundant number, since it is smaller than the sum of its proper divisors (196124703939520).

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

113400410024000 is a wasteful number, since it uses less digits than its factorization.

113400410024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13285094 (or 13285074 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 113400410024000 its reverse (420014004311), we get a palindrome (113820424028311).

The spelling of 113400410024000 in words is "one hundred thirteen trillion, four hundred billion, four hundred ten million, twenty-four thousand".