4224018811144 has 64 divisors (see below), whose sum is σ = 8843256576000. Its totient is φ = 1874872077120.

The previous prime is 4224018811123. The next prime is 4224018811163. The reversal of 4224018811144 is 4411188104224.

It is a super-2 number, since 2×4224018811144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4224018811097 and 4224018811106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14687077 + ... + 14971915.

It is an arithmetic number, because the mean of its divisors is an integer number (138175884000).

Almost surely, 2^{4224018811144} is an apocalyptic number.

4224018811144 is a gapful number since it is divisible by the number (44) 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 4224018811144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421628288000).

4224018811144 is an abundant number, since it is smaller than the sum of its proper divisors (4619237764856).

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

4224018811144 is a wasteful number, since it uses less digits than its factorization.

4224018811144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288818 (or 288814 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 4224018811144 in words is "four trillion, two hundred twenty-four billion, eighteen million, eight hundred eleven thousand, one hundred forty-four".