11167708440 has 256 divisors, whose sum is σ = 39317944320. Its totient is φ = 2484817920.

The previous prime is 11167708423. The next prime is 11167708463. The reversal of 11167708440 is 4480776111.

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, 6098325 + ... + 6100155.

It is an arithmetic number, because the mean of its divisors is an integer number (153585720).

Almost surely, 2^11167708440 is an apocalyptic number.

11167708440 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 11167708440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658972160).

11167708440 is an abundant number, since it is smaller than the sum of its proper divisors (28150235880).

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

11167708440 is a wasteful number, since it uses less digits than its factorization.

11167708440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 11167708440 in words is "eleven billion, one hundred sixty-seven million, seven hundred eight thousand, four hundred forty".