11224213774240 has 48 divisors (see below), whose sum is σ = 26912984247072. Its totient is φ = 4422675273984.

The previous prime is 11224213774231. The next prime is 11224213774261. The reversal of 11224213774240 is 4247731242211.

11224213774240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11224213774193 and 11224213774202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523506714 + ... + 523528153.

It is an arithmetic number, because the mean of its divisors is an integer number (560687171814).

Almost surely, 2^{11224213774240} is an apocalyptic number.

11224213774240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11224213774240 is an abundant number, since it is smaller than the sum of its proper divisors (15688770472832).

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

11224213774240 is a wasteful number, since it uses less digits than its factorization.

11224213774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047034949 (or 1047034941 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 11224213774240 in words is "eleven trillion, two hundred twenty-four billion, two hundred thirteen million, seven hundred seventy-four thousand, two hundred forty".