11496133440 has 448 divisors, whose sum is σ = 44875825920. Its totient is φ = 2747105280.

The previous prime is 11496133417. The next prime is 11496133457. The reversal of 11496133440 is 4433169411.

11496133440 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 613 + 34 + 4 + 0 = 666.

It is a super-2 number, since 2×11496133440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11496133395 and 11496133404.

It is a congruent number.

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, 6937092 + ... + 6938748.

Almost surely, 2^11496133440 is an apocalyptic number.

11496133440 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 11496133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22437912960).

11496133440 is an abundant number, since it is smaller than the sum of its proper divisors (33379692480).

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

11496133440 is a wasteful number, since it uses less digits than its factorization.

11496133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11496133440 in words is "eleven billion, four hundred ninety-six million, one hundred thirty-three thousand, four hundred forty".