11181540240 has 240 divisors, whose sum is σ = 41706080640. Its totient is φ = 2752289280.

The previous prime is 11181540233. The next prime is 11181540259. The reversal of 11181540240 is 4204518111.

It is a happy number.

11181540240 is a `hidden beast` number, since 1 + 1 + 1 + 81 + 540 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 349725 + ... + 380355.

It is an arithmetic number, because the mean of its divisors is an integer number (173775336).

Almost surely, 2^11181540240 is an apocalyptic number.

11181540240 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 11181540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20853040320).

11181540240 is an abundant number, since it is smaller than the sum of its proper divisors (30524540400).

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

11181540240 is a wasteful number, since it uses less digits than its factorization.

11181540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30679 (or 30654 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 11181540240 in words is "eleven billion, one hundred eighty-one million, five hundred forty thousand, two hundred forty".