11501413440 has 224 divisors, whose sum is σ = 39993661440. Its totient is φ = 2777241600.

The previous prime is 11501413423. The next prime is 11501413487. The reversal of 11501413440 is 4431410511.

It is a happy number.

It is a super-2 number, since 2×11501413440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11501413440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859751 + ... + 2863769.

Almost surely, 2^11501413440 is an apocalyptic number.

11501413440 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 11501413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996830720).

11501413440 is an abundant number, since it is smaller than the sum of its proper divisors (28492248000).

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

11501413440 is a wasteful number, since it uses less digits than its factorization.

11501413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11501413440 its reverse (4431410511), we get a palindrome (15932823951).

The spelling of 11501413440 in words is "eleven billion, five hundred one million, four hundred thirteen thousand, four hundred forty".