11413113240600 has 576 divisors, whose sum is σ = 39968054380800. Its totient is φ = 3026749524480.

The previous prime is 11413113240539. The next prime is 11413113240631. The reversal of 11413113240600 is 604231131411.

11413113240600 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 1 + 13 + 2 + 40 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11200306891 + ... + 11200307909.

It is an arithmetic number, because the mean of its divisors is an integer number (69388983300).

Almost surely, 2^{11413113240600} is an apocalyptic number.

11413113240600 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 11413113240600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984027190400).

11413113240600 is an abundant number, since it is smaller than the sum of its proper divisors (28554941140200).

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

11413113240600 is a wasteful number, since it uses less digits than its factorization.

11413113240600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11413113240600 in words is "eleven trillion, four hundred thirteen billion, one hundred thirteen million, two hundred forty thousand, six hundred".