11426455440 has 240 divisors, whose sum is σ = 39556062000. Its totient is φ = 2953801728.

The previous prime is 11426455433. The next prime is 11426455441. The reversal of 11426455440 is 4455462411.

11426455440 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 64 + 554 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3792589056 + 7633866384 = 61584^2 + 87372^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11426455395 and 11426455404.

It is not an unprimeable number, because it can be changed into a prime (11426455441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9296746 + ... + 9297974.

It is an arithmetic number, because the mean of its divisors is an integer number (164816925).

Almost surely, 2^11426455440 is an apocalyptic number.

11426455440 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 11426455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19778031000).

11426455440 is an abundant number, since it is smaller than the sum of its proper divisors (28129606560).

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

11426455440 is a wasteful number, since it uses less digits than its factorization.

11426455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 11426455440 in words is "eleven billion, four hundred twenty-six million, four hundred fifty-five thousand, four hundred forty".