444014053402304 has 168 divisors, whose sum is σ = 1109078579180544. Its totient is φ = 172640151129600.

The previous prime is 444014053402273. The next prime is 444014053402331. The reversal of 444014053402304 is 403204350410444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18275057 + ... + 34957199.

It is an arithmetic number, because the mean of its divisors is an integer number (6601658209408).

Almost surely, 2^{444014053402304} is an apocalyptic number.

444014053402304 is a gapful number since it is divisible by the number (44) 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 444014053402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554539289590272).

444014053402304 is an abundant number, since it is smaller than the sum of its proper divisors (665064525778240).

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

444014053402304 is a wasteful number, since it uses less digits than its factorization.

444014053402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16682675 (or 16682654 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

The spelling of 444014053402304 in words is "four hundred forty-four trillion, fourteen billion, fifty-three million, four hundred two thousand, three hundred four".