444114334314440 has 128 divisors (see below), whose sum is σ = 1018216616256000. Its totient is φ = 174303444077568.

The previous prime is 444114334314373. The next prime is 444114334314457. The reversal of 444114334314440 is 44413433411444.

It is a junction number, because it is equal to n+sod(n) for n = 444114334314391 and 444114334314400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5890932266 + ... + 5891007654.

It is an arithmetic number, because the mean of its divisors is an integer number (7954817314500).

Almost surely, 2^{444114334314440} is an apocalyptic number.

444114334314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444114334314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509108308128000).

444114334314440 is an abundant number, since it is smaller than the sum of its proper divisors (574102281941560).

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

444114334314440 is a wasteful number, since it uses less digits than its factorization.

444114334314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87079 (or 87075 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

Adding to 444114334314440 its reverse (44413433411444), we get a palindrome (488527767725884).

The spelling of 444114334314440 in words is "four hundred forty-four trillion, one hundred fourteen billion, three hundred thirty-four million, three hundred fourteen thousand, four hundred forty".