444234606432444 has 48 divisors (see below), whose sum is σ = 1153232779067040. Its totient is φ = 147883618408320.

The previous prime is 444234606432439. The next prime is 444234606432493.

It is a happy number.

444234606432444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 3 + 4 + 606 + 4 + 3 + 24 + 4 + 4 = 666.

444234606432444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444234606432444² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

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, 2702469319 + ... + 2702633694.

It is an arithmetic number, because the mean of its divisors is an integer number (24025682897230).

Almost surely, 2^{444234606432444} is an apocalyptic number.

It is an amenable number.

444234606432444 is an abundant number, since it is smaller than the sum of its proper divisors (708998172634596).

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

444234606432444 is a wasteful number, since it uses less digits than its factorization.

444234606432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405103787 (or 5405103779 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 54.

The spelling of 444234606432444 in words is "four hundred forty-four trillion, two hundred thirty-four billion, six hundred six million, four hundred thirty-two thousand, four hundred forty-four".