113414244121440 has 144 divisors (see below), whose sum is σ = 397486273333968. Its totient is φ = 29426398460928.

The previous prime is 113414244121393. The next prime is 113414244121441. The reversal of 113414244121440 is 44121442414311.

113414244121440 is a `hidden beast` number, since 1 + 1 + 3 + 414 + 24 + 4 + 1 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 113414244121395 and 113414244121404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113414244121441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064269582 + ... + 1064376141.

It is an arithmetic number, because the mean of its divisors is an integer number (2760321342597).

Almost surely, 2^{113414244121440} is an apocalyptic number.

113414244121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113414244121440 is an abundant number, since it is smaller than the sum of its proper divisors (284072029212528).

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

113414244121440 is a wasteful number, since it uses less digits than its factorization.

113414244121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128645781 (or 2128645770 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 113414244121440 its reverse (44121442414311), we get a palindrome (157535686535751).

The spelling of 113414244121440 in words is "one hundred thirteen trillion, four hundred fourteen billion, two hundred forty-four million, one hundred twenty-one thousand, four hundred forty".