444437734444 has 48 divisors (see below), whose sum is σ = 850053657600. Its totient is φ = 201640961600.

The previous prime is 444437734421. The next prime is 444437734469.

444437734444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444437734391 and 444437734400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61476222 + ... + 61483450.

It is an arithmetic number, because the mean of its divisors is an integer number (17709451200).

Almost surely, 2^444437734444 is an apocalyptic number.

444437734444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444437734444 is a deficient number, since it is larger than the sum of its proper divisors (405615923156).

444437734444 is a wasteful number, since it uses less digits than its factorization.

444437734444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9654 (or 9652 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 52.

The spelling of 444437734444 in words is "four hundred forty-four billion, four hundred thirty-seven million, seven hundred thirty-four thousand, four hundred forty-four".