113105341440 has 1584 divisors, whose sum is σ = 514410641472. Its totient is φ = 23219011584.

The previous prime is 113105341439. The next prime is 113105341441. The reversal of 113105341440 is 44143501311.

113105341440 is a `hidden beast` number, since 1 + 1 + 310 + 5 + 341 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113105341439) and next prime (113105341441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113105341441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3056901102 + ... + 3056901138.

Almost surely, 2^113105341440 is an apocalyptic number.

113105341440 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 113105341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257205320736).

113105341440 is an abundant number, since it is smaller than the sum of its proper divisors (401305300032).

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

113105341440 is an frugal number, since it uses more digits than its factorization.

113105341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113105341440 its reverse (44143501311), we get a palindrome (157248842751).

The spelling of 113105341440 in words is "one hundred thirteen billion, one hundred five million, three hundred forty-one thousand, four hundred forty".