444042204000216 has 128 divisors (see below), whose sum is σ = 1115949206453760. Its totient is φ = 147236538240000.

The previous prime is 444042204000179. The next prime is 444042204000247. The reversal of 444042204000216 is 612000402240444.

It is a happy number.

It is a congruent number.

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, 15692186580 + ... + 15692214876.

It is an arithmetic number, because the mean of its divisors is an integer number (8718353175420).

Almost surely, 2^{444042204000216} is an apocalyptic number.

It is an amenable number.

444042204000216 is an abundant number, since it is smaller than the sum of its proper divisors (671907002453544).

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

444042204000216 is a wasteful number, since it uses less digits than its factorization.

444042204000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31785 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 444042204000216 in words is "four hundred forty-four trillion, forty-two billion, two hundred four million, two hundred sixteen", and thus it is an aban number.