4046446064000 has 128 divisors (see below), whose sum is σ = 10198294217280. Its totient is φ = 1596405657600.

The previous prime is 4046446063973. The next prime is 4046446064053. The reversal of 4046446064000 is 4606446404.

It is a happy number.

4046446064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4046446064000² (a number of 26 digits) contains 22 as substring.

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, 564212 + ... + 2900211.

Almost surely, 2^{4046446064000} is an apocalyptic number.

4046446064000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4046446064000 is an abundant number, since it is smaller than the sum of its proper divisors (6151848153280).

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

4046446064000 is an equidigital number, since it uses as much as digits as its factorization.

4046446064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464525 (or 3464503 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 4046446064000 in words is "four trillion, forty-six billion, four hundred forty-six million, sixty-four thousand".