444244464444 has 192 divisors, whose sum is σ = 1185476705280. Its totient is φ = 128244480000.

The previous prime is 444244464437. The next prime is 444244464451. The reversal of 444244464444 is 444464442444.

It is an interprime number because it is at equal distance from previous prime (444244464437) and next prime (444244464451).

It is a super-3 number, since 3×444244464444³ (a number of 36 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444244464393 and 444244464402.

It is a congruent number.

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, 121012729 + ... + 121016399.

It is an arithmetic number, because the mean of its divisors is an integer number (6174357840).

Almost surely, 2^444244464444 is an apocalyptic number.

444244464444 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 444244464444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592738352640).

444244464444 is an abundant number, since it is smaller than the sum of its proper divisors (741232240836).

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

444244464444 is a wasteful number, since it uses less digits than its factorization.

444244464444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4130 counting only the distinct ones).

The product of its digits is 12582912, while the sum is 48.

The spelling of 444244464444 in words is "four hundred forty-four billion, two hundred forty-four million, four hundred sixty-four thousand, four hundred forty-four".