444344222023240 has 256 divisors, whose sum is σ = 1281504740567040. Its totient is φ = 134634915072000.

The previous prime is 444344222023127. The next prime is 444344222023259. The reversal of 444344222023240 is 42320222443444.

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 = 444344222023193 and 444344222023202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19994460 + ... + 35895220.

It is an arithmetic number, because the mean of its divisors is an integer number (5005877892840).

Almost surely, 2^{444344222023240} is an apocalyptic number.

444344222023240 is a gapful number since it is divisible by the number (40) 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 444344222023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640752370283520).

444344222023240 is an abundant number, since it is smaller than the sum of its proper divisors (837160518543800).

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

444344222023240 is a wasteful number, since it uses less digits than its factorization.

444344222023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15901044 (or 15901040 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 40.

Adding to 444344222023240 its reverse (42320222443444), we get a palindrome (486664444466684).

The spelling of 444344222023240 in words is "four hundred forty-four trillion, three hundred forty-four billion, two hundred twenty-two million, twenty-three thousand, two hundred forty".