112344440400 has 480 divisors, whose sum is σ = 407753068800. Its totient is φ = 29740400640.

The previous prime is 112344440389. The next prime is 112344440413. The reversal of 112344440400 is 4044443211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146091216 + ... + 146091984.

It is an arithmetic number, because the mean of its divisors is an integer number (849485560).

Almost surely, 2^112344440400 is an apocalyptic number.

112344440400 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 112344440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203876534400).

112344440400 is an abundant number, since it is smaller than the sum of its proper divisors (295408628400).

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

112344440400 is an equidigital number, since it uses as much as digits as its factorization.

112344440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 112344440400 its reverse (4044443211), we get a palindrome (116388883611).

The spelling of 112344440400 in words is "one hundred twelve billion, three hundred forty-four million, four hundred forty thousand, four hundred".