444505424505444 has 96 divisors (see below), whose sum is σ = 1152821505897600. Its totient is φ = 148117050800640.

The previous prime is 444505424505433. The next prime is 444505424505511.

444505424505444 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 0 + 5 + 42 + 4 + 50 + 544 + 4 = 666.

444505424505444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929064759 + ... + 3929177889.

It is an arithmetic number, because the mean of its divisors is an integer number (12008557353100).

Almost surely, 2^{444505424505444} is an apocalyptic number.

It is an amenable number.

444505424505444 is an abundant number, since it is smaller than the sum of its proper divisors (708316081392156).

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

444505424505444 is a wasteful number, since it uses less digits than its factorization.

444505424505444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125450 (or 125442 counting only the distinct ones).

The product of its (nonzero) digits is 81920000, while the sum is 54.

The spelling of 444505424505444 in words is "four hundred forty-four trillion, five hundred five billion, four hundred twenty-four million, five hundred five thousand, four hundred forty-four".