113569990410240 has 3072 divisors, whose sum is σ = 514895975193600. Its totient is φ = 23404763676672.

The previous prime is 113569990410203. The next prime is 113569990410293. The reversal of 113569990410240 is 42014099965311.

113569990410240 is a `hidden beast` number, since 1 + 1 + 3 + 56 + 99 + 90 + 410 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2641162567659 + ... + 2641162567701.

It is an arithmetic number, because the mean of its divisors is an integer number (167609366925).

Almost surely, 2^{113569990410240} is an apocalyptic number.

113569990410240 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 113569990410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257447987596800).

113569990410240 is an abundant number, since it is smaller than the sum of its proper divisors (401325984783360).

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

113569990410240 is an frugal number, since it uses more digits than its factorization.

113569990410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 113569990410240 in words is "one hundred thirteen trillion, five hundred sixty-nine billion, nine hundred ninety million, four hundred ten thousand, two hundred forty".