113762007040 has 192 divisors, whose sum is σ = 298369824480. Its totient is φ = 41285713920.

The previous prime is 113762007031. The next prime is 113762007071. The reversal of 113762007040 is 40700267311.

It is a junction number, because it is equal to n+sod(n) for n = 113762006993 and 113762007011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112301574 + ... + 112302586.

Almost surely, 2^113762007040 is an apocalyptic number.

113762007040 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 113762007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184912240).

113762007040 is an abundant number, since it is smaller than the sum of its proper divisors (184607817440).

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

113762007040 is a wasteful number, since it uses less digits than its factorization.

113762007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The spelling of 113762007040 in words is "one hundred thirteen billion, seven hundred sixty-two million, seven thousand, forty".