444293443394416 has 80 divisors (see below), whose sum is σ = 1086813486627840. Its totient is φ = 170910185322240.

The previous prime is 444293443394393. The next prime is 444293443394519. The reversal of 444293443394416 is 614493344392444.

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, 2282357071 + ... + 2282551726.

It is an arithmetic number, because the mean of its divisors is an integer number (13585168582848).

Almost surely, 2^{444293443394416} is an apocalyptic number.

It is an amenable number.

444293443394416 is an abundant number, since it is smaller than the sum of its proper divisors (642520043233424).

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

444293443394416 is a wasteful number, since it uses less digits than its factorization.

444293443394416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564908902 (or 4564908896 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 64.

The spelling of 444293443394416 in words is "four hundred forty-four trillion, two hundred ninety-three billion, four hundred forty-three million, three hundred ninety-four thousand, four hundred sixteen".