112376640240 has 360 divisors, whose sum is σ = 407905187040. Its totient is φ = 27672336384.

The previous prime is 112376640223. The next prime is 112376640253. The reversal of 112376640240 is 42046673211.

112376640240 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 7 + 6 + 640 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112376640195 and 112376640204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13922926 + ... + 13930994.

It is an arithmetic number, because the mean of its divisors is an integer number (1133069964).

Almost surely, 2^112376640240 is an apocalyptic number.

112376640240 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 112376640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203952593520).

112376640240 is an abundant number, since it is smaller than the sum of its proper divisors (295528546800).

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

112376640240 is a wasteful number, since it uses less digits than its factorization.

112376640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8169 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 112376640240 in words is "one hundred twelve billion, three hundred seventy-six million, six hundred forty thousand, two hundred forty".