444235343532444 has 384 divisors, whose sum is σ = 1213103724268800. Its totient is φ = 140446533795840.

The previous prime is 444235343532413. The next prime is 444235343532473.

444235343532444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 3 + 5 + 343 + 53 + 244 + 4 = 666.

444235343532444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444235343532444² (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 127 ways as a sum of consecutive naturals, for example, 9151730814 + ... + 9151779354.

It is an arithmetic number, because the mean of its divisors is an integer number (3159124281950).

Almost surely, 2^{444235343532444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444235343532444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606551862134400).

444235343532444 is an abundant number, since it is smaller than the sum of its proper divisors (768868380736356).

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

444235343532444 is a wasteful number, since it uses less digits than its factorization.

444235343532444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49030 (or 49022 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

The spelling of 444235343532444 in words is "four hundred forty-four trillion, two hundred thirty-five billion, three hundred forty-three million, five hundred thirty-two thousand, four hundred forty-four".