113301040440 has 256 divisors, whose sum is σ = 396572267520. Its totient is φ = 25358561280.

The previous prime is 113301040423. The next prime is 113301040477. The reversal of 113301040440 is 44040103311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25418692 + ... + 25423148.

It is an arithmetic number, because the mean of its divisors is an integer number (1549110420).

Almost surely, 2^113301040440 is an apocalyptic number.

113301040440 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 113301040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198286133760).

113301040440 is an abundant number, since it is smaller than the sum of its proper divisors (283271227080).

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

113301040440 is a wasteful number, since it uses less digits than its factorization.

113301040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 113301040440 its reverse (44040103311), we get a palindrome (157341143751).

The spelling of 113301040440 in words is "one hundred thirteen billion, three hundred one million, forty thousand, four hundred forty".