22444234540240 has 160 divisors (see below), whose sum is σ = 55673609160960. Its totient is φ = 8401971916800.

The previous prime is 22444234540229. The next prime is 22444234540241. The reversal of 22444234540240 is 4204543244422.

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 = 22444234540193 and 22444234540202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444234540241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7314171 + ... + 9918949.

It is an arithmetic number, because the mean of its divisors is an integer number (347960057256).

Almost surely, 2^{22444234540240} is an apocalyptic number.

22444234540240 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 22444234540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27836804580480).

22444234540240 is an abundant number, since it is smaller than the sum of its proper divisors (33229374620720).

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

22444234540240 is a wasteful number, since it uses less digits than its factorization.

22444234540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604941 (or 2604935 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 40.

Adding to 22444234540240 its reverse (4204543244422), we get a palindrome (26648777784662).

The spelling of 22444234540240 in words is "twenty-two trillion, four hundred forty-four billion, two hundred thirty-four million, five hundred forty thousand, two hundred forty".