11124202440 has 256 divisors, whose sum is σ = 38107883520. Its totient is φ = 2577899520.

The previous prime is 11124202393. The next prime is 11124202459. The reversal of 11124202440 is 4420242111.

It is a super-2 number, since 2×11124202440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1786212 + ... + 1792428.

It is an arithmetic number, because the mean of its divisors is an integer number (148858920).

Almost surely, 2^11124202440 is an apocalyptic number.

11124202440 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 11124202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053941760).

11124202440 is an abundant number, since it is smaller than the sum of its proper divisors (26983681080).

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

11124202440 is a wasteful number, since it uses less digits than its factorization.

11124202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11124202440 its reverse (4420242111), we get a palindrome (15544444551).

The spelling of 11124202440 in words is "eleven billion, one hundred twenty-four million, two hundred two thousand, four hundred forty".