11226675240 has 288 divisors, whose sum is σ = 40533915240. Its totient is φ = 2692546560.

The previous prime is 11226675221. The next prime is 11226675259. The reversal of 11226675240 is 4257662211.

It is a happy number.

11226675240 is a `hidden beast` number, since 1 + 122 + 6 + 6 + 7 + 524 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11226675221) and next prime (11226675259).

It can be written as a sum of positive squares in 4 ways, for example, as 9425691396 + 1800983844 = 97086^2 + 42438^2 .

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 = 11226675195 and 11226675204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4223992 + ... + 4226648.

Almost surely, 2^11226675240 is an apocalyptic number.

11226675240 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 11226675240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20266957620).

11226675240 is an abundant number, since it is smaller than the sum of its proper divisors (29307240000).

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

11226675240 is a wasteful number, since it uses less digits than its factorization.

11226675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11226675240 in words is "eleven billion, two hundred twenty-six million, six hundred seventy-five thousand, two hundred forty".