11718769440 has 288 divisors, whose sum is σ = 43858692864. Its totient is φ = 2621337600.

The previous prime is 11718769429. The next prime is 11718769481. The reversal of 11718769440 is 4496781711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11718769440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100140 + ... + 1110740.

It is an arithmetic number, because the mean of its divisors is an integer number (152287128).

Almost surely, 2^11718769440 is an apocalyptic number.

11718769440 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 11718769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929346432).

11718769440 is an abundant number, since it is smaller than the sum of its proper divisors (32139923424).

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

11718769440 is a wasteful number, since it uses less digits than its factorization.

11718769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 11718769440 in words is "eleven billion, seven hundred eighteen million, seven hundred sixty-nine thousand, four hundred forty".