444337733444 has 48 divisors (see below), whose sum is σ = 909001590336. Its totient is φ = 187800729600.

The previous prime is 444337733419. The next prime is 444337733449.

It is a happy number.

444337733444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444337733444² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444337733392 and 444337733401.

It is not an unprimeable number, because it can be changed into a prime (444337733449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3516437 + ... + 3640604.

It is an arithmetic number, because the mean of its divisors is an integer number (18937533132).

Almost surely, 2^444337733444 is an apocalyptic number.

444337733444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444337733444 is an abundant number, since it is smaller than the sum of its proper divisors (464663856892).

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

444337733444 is a wasteful number, since it uses less digits than its factorization.

444337733444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157156 (or 7157154 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 50.

The spelling of 444337733444 in words is "four hundred forty-four billion, three hundred thirty-seven million, seven hundred thirty-three thousand, four hundred forty-four".