112440530400 has 288 divisors, whose sum is σ = 401489053056. Its totient is φ = 27106560000.

The previous prime is 112440530393. The next prime is 112440530429. The reversal of 112440530400 is 4035044211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 4766635 + ... + 4790165.

It is an arithmetic number, because the mean of its divisors is an integer number (1394059212).

Almost surely, 2^112440530400 is an apocalyptic number.

112440530400 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 112440530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200744526528).

112440530400 is an abundant number, since it is smaller than the sum of its proper divisors (289048522656).

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

112440530400 is a wasteful number, since it uses less digits than its factorization.

112440530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23746 (or 23733 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 112440530400 its reverse (4035044211), we get a palindrome (116475574611).

The spelling of 112440530400 in words is "one hundred twelve billion, four hundred forty million, five hundred thirty thousand, four hundred".