112415152440 has 128 divisors (see below), whose sum is σ = 349161246720. Its totient is φ = 28923955200.

The previous prime is 112415152433. The next prime is 112415152469. The reversal of 112415152440 is 44251514211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112415152398 and 112415152407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208805 + ... + 1298475.

It is an arithmetic number, because the mean of its divisors is an integer number (2727822240).

Almost surely, 2^112415152440 is an apocalyptic number.

112415152440 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 112415152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174580623360).

112415152440 is an abundant number, since it is smaller than the sum of its proper divisors (236746094280).

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

112415152440 is a wasteful number, since it uses less digits than its factorization.

112415152440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90053 (or 90049 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 112415152440 its reverse (44251514211), we get a palindrome (156666666651).

The spelling of 112415152440 in words is "one hundred twelve billion, four hundred fifteen million, one hundred fifty-two thousand, four hundred forty".