444401435643705 has 96 divisors (see below), whose sum is σ = 796930957734912. Its totient is φ = 228853113868800.

The previous prime is 444401435643617. The next prime is 444401435643707. The reversal of 444401435643705 is 507346534104444.

444401435643705 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 0 + 1 + 4 + 3 + 564 + 3 + 70 + 5 = 666.

It is not a de Polignac number, because 444401435643705 - 2³⁸ = 444126557736761 is a prime.

It is a super-2 number, since 2×444401435643705² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444401435643707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13609803159 + ... + 13609835811.

It is an arithmetic number, because the mean of its divisors is an integer number (8301364143072).

Almost surely, 2^{444401435643705} is an apocalyptic number.

444401435643705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444401435643705 is a deficient number, since it is larger than the sum of its proper divisors (352529522091207).

444401435643705 is a wasteful number, since it uses less digits than its factorization.

444401435643705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54319 (or 54316 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 54.

The spelling of 444401435643705 in words is "four hundred forty-four trillion, four hundred one billion, four hundred thirty-five million, six hundred forty-three thousand, seven hundred five".