444404101761005 has 16 divisors (see below), whose sum is σ = 539778606621744. Its totient is φ = 351207708088320.

The previous prime is 444404101760953. The next prime is 444404101761007. The reversal of 444404101761005 is 500167101404444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 645356762281 + 443758744998724 = 803341^2 + 21065582^2 .

It is not a de Polignac number, because 444404101761005 - 2¹⁶ = 444404101695469 is a prime.

It is a super-2 number, since 2×444404101761005² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444404101761007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846592622 + ... + 847117391.

It is an arithmetic number, because the mean of its divisors is an integer number (33736162913859).

Almost surely, 2^{444404101761005} is an apocalyptic number.

It is an amenable number.

444404101761005 is a deficient number, since it is larger than the sum of its proper divisors (95374504860739).

444404101761005 is a wasteful number, since it uses less digits than its factorization.

444404101761005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693710656.

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 444404101761005 in words is "four hundred forty-four trillion, four hundred four billion, one hundred one million, seven hundred sixty-one thousand, five".