11811668440 has 256 divisors, whose sum is σ = 33072883200. Its totient is φ = 3732480000.

The previous prime is 11811668431. The next prime is 11811668443. The reversal of 11811668440 is 4486611811.

It is a happy number.

It is a super-2 number, since 2×11811668440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11811668393 and 11811668402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11811668443) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27278464 + ... + 27278896.

It is an arithmetic number, because the mean of its divisors is an integer number (129190950).

Almost surely, 2^11811668440 is an apocalyptic number.

11811668440 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 11811668440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536441600).

11811668440 is an abundant number, since it is smaller than the sum of its proper divisors (21261214760).

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

11811668440 is a wasteful number, since it uses less digits than its factorization.

11811668440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 11811668440 in words is "eleven billion, eight hundred eleven million, six hundred sixty-eight thousand, four hundred forty".