11224576440 has 384 divisors, whose sum is σ = 47053094400. Its totient is φ = 2251791360.

The previous prime is 11224576427. The next prime is 11224576453. The reversal of 11224576440 is 4467542211.

11224576440 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 5 + 7 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11224576427) and next prime (11224576453).

It is a super-2 number, since 2×11224576440² (a number of 21 digits) contains 22 as substring.

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 = 11224576395 and 11224576404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796899 + ... + 810861.

It is an arithmetic number, because the mean of its divisors is an integer number (122534100).

Almost surely, 2^11224576440 is an apocalyptic number.

11224576440 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 11224576440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23526547200).

11224576440 is an abundant number, since it is smaller than the sum of its proper divisors (35828517960).

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

11224576440 is a wasteful number, since it uses less digits than its factorization.

11224576440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14027 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 11224576440 in words is "eleven billion, two hundred twenty-four million, five hundred seventy-six thousand, four hundred forty".