11110724240 has 320 divisors, whose sum is σ = 34497792000. Its totient is φ = 3223203840.

The previous prime is 11110724129. The next prime is 11110724269. The reversal of 11110724240 is 4242701111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6904556 + ... + 6906164.

It is an arithmetic number, because the mean of its divisors is an integer number (107805600).

Almost surely, 2^11110724240 is an apocalyptic number.

11110724240 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 11110724240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896000).

11110724240 is an abundant number, since it is smaller than the sum of its proper divisors (23387067760).

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

11110724240 is a wasteful number, since it uses less digits than its factorization.

11110724240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The spelling of 11110724240 in words is "eleven billion, one hundred ten million, seven hundred twenty-four thousand, two hundred forty".