11381574240 has 144 divisors (see below), whose sum is σ = 39331656000. Its totient is φ = 2996637696.

The previous prime is 11381574229. The next prime is 11381574257. The reversal of 11381574240 is 4247518311.

11381574240 is a `hidden beast` number, since 1 + 1 + 3 + 81 + 574 + 2 + 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 = 11381574195 and 11381574204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63736 + ... + 163784.

It is an arithmetic number, because the mean of its divisors is an integer number (273136500).

Almost surely, 2^11381574240 is an apocalyptic number.

11381574240 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 11381574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665828000).

11381574240 is an abundant number, since it is smaller than the sum of its proper divisors (27950081760).

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

11381574240 is a wasteful number, since it uses less digits than its factorization.

11381574240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100149 (or 100138 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11381574240 in words is "eleven billion, three hundred eighty-one million, five hundred seventy-four thousand, two hundred forty".