22444311311440 has 160 divisors (see below), whose sum is σ = 54534041026560. Its totient is φ = 8579892787200.

The previous prime is 22444311311377. The next prime is 22444311311491. The reversal of 22444311311440 is 4411311344422.

It is a super-2 number, since 2×22444311311440² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22444311311396 and 22444311311405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126901470 + ... + 127078210.

It is an arithmetic number, because the mean of its divisors is an integer number (340837756416).

Almost surely, 2^{22444311311440} is an apocalyptic number.

22444311311440 is a gapful number since it is divisible by the number (20) 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 22444311311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27267020513280).

22444311311440 is an abundant number, since it is smaller than the sum of its proper divisors (32089729715120).

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

22444311311440 is a wasteful number, since it uses less digits than its factorization.

22444311311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177341 (or 177335 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 22444311311440 its reverse (4411311344422), we get a palindrome (26855622655862).

The spelling of 22444311311440 in words is "twenty-two trillion, four hundred forty-four billion, three hundred eleven million, three hundred eleven thousand, four hundred forty".