11266442040 has 256 divisors, whose sum is σ = 39678566400. Its totient is φ = 2505613824.

The previous prime is 11266441999. The next prime is 11266442119. The reversal of 11266442040 is 4024466211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11266441989 and 11266442007.

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, 13689069 + ... + 13689891.

It is an arithmetic number, because the mean of its divisors is an integer number (154994400).

Almost surely, 2^11266442040 is an apocalyptic number.

11266442040 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 11266442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839283200).

11266442040 is an abundant number, since it is smaller than the sum of its proper divisors (28412124360).

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

11266442040 is a wasteful number, since it uses less digits than its factorization.

11266442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 11266442040 in words is "eleven billion, two hundred sixty-six million, four hundred forty-two thousand, forty".