444046560382100 has 72 divisors (see below), whose sum is σ = 1038602659993080. Its totient is φ = 163813453332480.

The previous prime is 444046560382079. The next prime is 444046560382111. The reversal of 444046560382100 is 1283065640444.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 271835216105476 + 172211344276624 = 16487426^2 + 13122932^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146625245 + ... + 149623044.

Almost surely, 2^{444046560382100} is an apocalyptic number.

It is an amenable number.

444046560382100 is an abundant number, since it is smaller than the sum of its proper divisors (594556099610980).

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

444046560382100 is a wasteful number, since it uses less digits than its factorization.

444046560382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296249469 (or 296249462 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 444046560382100 in words is "four hundred forty-four trillion, forty-six billion, five hundred sixty million, three hundred eighty-two thousand, one hundred".