444414243413040 has 80 divisors (see below), whose sum is σ = 1414918861489248. Its totient is φ = 115307479369728.

The previous prime is 444414243413033. The next prime is 444414243413071. The reversal of 444414243413040 is 40314342414444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 444414243412983 and 444414243413001.

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, 25023315637 + ... + 25023333396.

Almost surely, 2^{444414243413040} is an apocalyptic number.

444414243413040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444414243413040 is an abundant number, since it is smaller than the sum of its proper divisors (970504618076208).

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

444414243413040 is a wasteful number, since it uses less digits than its factorization.

444414243413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50046649086 (or 50046649080 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 444414243413040 its reverse (40314342414444), we get a palindrome (484728585827484).

The spelling of 444414243413040 in words is "four hundred forty-four trillion, four hundred fourteen billion, two hundred forty-three million, four hundred thirteen thousand, forty".