416444344056576 has 432 divisors, whose sum is σ = 1354568182450560. Its totient is φ = 126107917056000.

The previous prime is 416444344056493. The next prime is 416444344056749. The reversal of 416444344056576 is 675650443444614.

It is a happy number.

416444344056576 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 4 + 4 + 3 + 4 + 4 + 0 + 56 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213375171 + ... + 1213718333.

Almost surely, 2^{416444344056576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416444344056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677284091225280).

416444344056576 is an abundant number, since it is smaller than the sum of its proper divisors (938123838393984).

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

416444344056576 is a wasteful number, since it uses less digits than its factorization.

416444344056576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344661 (or 344630 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 63.

The spelling of 416444344056576 in words is "four hundred sixteen trillion, four hundred forty-four billion, three hundred forty-four million, fifty-six thousand, five hundred seventy-six".