112411414400 has 288 divisors, whose sum is σ = 295274516400. Its totient is φ = 42201702400.

The previous prime is 112411414391. The next prime is 112411414433. The reversal of 112411414400 is 4414114211.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 858102335 + ... + 858102465.

Almost surely, 2^112411414400 is an apocalyptic number.

112411414400 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 112411414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147637258200).

112411414400 is an abundant number, since it is smaller than the sum of its proper divisors (182863102000).

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

112411414400 is an equidigital number, since it uses as much as digits as its factorization.

112411414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 112411414400 its reverse (4414114211), we get a palindrome (116825528611).

The spelling of 112411414400 in words is "one hundred twelve billion, four hundred eleven million, four hundred fourteen thousand, four hundred".