113027440103760 has 5120 divisors, whose sum is σ = 520171506892800. Its totient is φ = 19607165337600.

The previous prime is 113027440103749. The next prime is 113027440103827. The reversal of 113027440103760 is 67301044720311.

It is a super-2 number, since 2×113027440103760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 1023 ways as a sum of consecutive naturals, for example, 493569607326 + ... + 493569607554.

It is an arithmetic number, because the mean of its divisors is an integer number (101595997440).

Almost surely, 2^{113027440103760} is an apocalyptic number.

113027440103760 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 113027440103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260085753446400).

113027440103760 is an abundant number, since it is smaller than the sum of its proper divisors (407144066789040).

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

113027440103760 is a wasteful number, since it uses less digits than its factorization.

113027440103760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 113027440103760 in words is "one hundred thirteen trillion, twenty-seven billion, four hundred forty million, one hundred three thousand, seven hundred sixty".