11260234440 has 640 divisors, whose sum is σ = 47060133120. Its totient is φ = 2351462400.

The previous prime is 11260234411. The next prime is 11260234441. The reversal of 11260234440 is 4443206211.

It is a happy number.

11260234440 is a `hidden beast` number, since 1 + 12 + 602 + 3 + 4 + 4 + 40 = 666.

It is a super-2 number, since 2×11260234440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11260234441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53365935 + ... + 53366145.

It is an arithmetic number, because the mean of its divisors is an integer number (73531458).

Almost surely, 2^11260234440 is an apocalyptic number.

11260234440 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 11260234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23530066560).

11260234440 is an abundant number, since it is smaller than the sum of its proper divisors (35799898680).

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

11260234440 is a wasteful number, since it uses less digits than its factorization.

11260234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 11260234440 in words is "eleven billion, two hundred sixty million, two hundred thirty-four thousand, four hundred forty".