112141359973440 has 2688 divisors, whose sum is σ = 484506599915520. Its totient is φ = 24147254476800.

The previous prime is 112141359973427. The next prime is 112141359973453. The reversal of 112141359973440 is 44379953141211.

It is a happy number.

112141359973440 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 1 + 3 + 599 + 7 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (112141359973427) and next prime (112141359973453).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 260188770025 + ... + 260188770455.

It is an arithmetic number, because the mean of its divisors is an integer number (180247991040).

Almost surely, 2^{112141359973440} is an apocalyptic number.

112141359973440 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 112141359973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242253299957760).

112141359973440 is an abundant number, since it is smaller than the sum of its proper divisors (372365239942080).

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

112141359973440 is a wasteful number, since it uses less digits than its factorization.

112141359973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 112141359973440 in words is "one hundred twelve trillion, one hundred forty-one billion, three hundred fifty-nine million, nine hundred seventy-three thousand, four hundred forty".