11466581440 has 112 divisors (see below), whose sum is σ = 28339267680. Its totient is φ = 4413911040.

The previous prime is 11466581419. The next prime is 11466581443. The reversal of 11466581440 is 4418566411.

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 = 11466581393 and 11466581402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11466581443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069814 + ... + 3073546.

Almost surely, 2^11466581440 is an apocalyptic number.

11466581440 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 11466581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169633840).

11466581440 is an abundant number, since it is smaller than the sum of its proper divisors (16872686240).

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

11466581440 is a wasteful number, since it uses less digits than its factorization.

11466581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 11466581440 in words is "eleven billion, four hundred sixty-six million, five hundred eighty-one thousand, four hundred forty".