11266957440 has 896 divisors, whose sum is σ = 44951155200. Its totient is φ = 2687385600.

The previous prime is 11266957439. The next prime is 11266957441. The reversal of 11266957440 is 4475966211.

11266957440 is a `hidden beast` number, since 1 + 12 + 6 + 69 + 574 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11266957439) and next prime (11266957441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11266957441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 274803820 + ... + 274803860.

It is an arithmetic number, because the mean of its divisors is an integer number (50168700).

Almost surely, 2^11266957440 is an apocalyptic number.

11266957440 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 11266957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475577600).

11266957440 is an abundant number, since it is smaller than the sum of its proper divisors (33684197760).

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

11266957440 is an equidigital number, since it uses as much as digits as its factorization.

11266957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11266957440 in words is "eleven billion, two hundred sixty-six million, nine hundred fifty-seven thousand, four hundred forty".