11225413440 has 168 divisors, whose sum is σ = 38649923208. Its totient is φ = 2990407680.

The previous prime is 11225413403. The next prime is 11225413457. The reversal of 11225413440 is 4431452211.

11225413440 is a `hidden beast` number, since 112 + 2 + 541 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28387584 + 11197025856 = 5328^2 + 105816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5393200 + ... + 5395280.

Almost surely, 2^11225413440 is an apocalyptic number.

11225413440 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 11225413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19324961604).

11225413440 is an abundant number, since it is smaller than the sum of its proper divisors (27424509768).

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

11225413440 is a wasteful number, since it uses less digits than its factorization.

11225413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11225413440 its reverse (4431452211), we get a palindrome (15656865651).

The spelling of 11225413440 in words is "eleven billion, two hundred twenty-five million, four hundred thirteen thousand, four hundred forty".