113958461440 has 224 divisors, whose sum is σ = 290395883520. Its totient is φ = 42807066624.

The previous prime is 113958461401. The next prime is 113958461447. The reversal of 113958461440 is 44164859311.

It is not an unprimeable number, because it can be changed into a prime (113958461447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98835904 + ... + 98837056.

Almost surely, 2^113958461440 is an apocalyptic number.

113958461440 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 113958461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145197941760).

113958461440 is an abundant number, since it is smaller than the sum of its proper divisors (176437422080).

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

113958461440 is a wasteful number, since it uses less digits than its factorization.

113958461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 113958461440 in words is "one hundred thirteen billion, nine hundred fifty-eight million, four hundred sixty-one thousand, four hundred forty".