113324444202240 has 288 divisors, whose sum is σ = 402541489808640. Its totient is φ = 30190010425344.

The previous prime is 113324444202239. The next prime is 113324444202269. The reversal of 113324444202240 is 42202444423311.

113324444202240 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 4 + 4 + 4 + 420 + 224 + 0 = 666.

113324444202240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113324444202195 and 113324444202204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33390789 + ... + 36627771.

It is an arithmetic number, because the mean of its divisors is an integer number (1397713506280).

Almost surely, 2^{113324444202240} is an apocalyptic number.

113324444202240 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 113324444202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201270744904320).

113324444202240 is an abundant number, since it is smaller than the sum of its proper divisors (289217045606400).

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

113324444202240 is a wasteful number, since it uses less digits than its factorization.

113324444202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238026 (or 3238006 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 113324444202240 its reverse (42202444423311), we get a palindrome (155526888625551).

The spelling of 113324444202240 in words is "one hundred thirteen trillion, three hundred twenty-four billion, four hundred forty-four million, two hundred two thousand, two hundred forty".