11240135424 has 360 divisors, whose sum is σ = 38590458368. Its totient is φ = 3187537920.

The previous prime is 11240135411. The next prime is 11240135437. The reversal of 11240135424 is 42453104211.

11240135424 is a `hidden beast` number, since 112 + 4 + 0 + 1 + 3 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11240135411) and next prime (11240135437).

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 39 ways as a sum of consecutive naturals, for example, 30626889 + ... + 30627255.

Almost surely, 2^11240135424 is an apocalyptic number.

11240135424 is a gapful number since it is divisible by the number (14) 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 11240135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295229184).

11240135424 is an abundant number, since it is smaller than the sum of its proper divisors (27350322944).

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

11240135424 is an equidigital number, since it uses as much as digits as its factorization.

11240135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11240135424 its reverse (42453104211), we get a palindrome (53693239635).

The spelling of 11240135424 in words is "eleven billion, two hundred forty million, one hundred thirty-five thousand, four hundred twenty-four".