420440044400016 has 80 divisors (see below), whose sum is σ = 1150190482544064. Its totient is φ = 131884029018112.

The previous prime is 420440044399997. The next prime is 420440044400041. The reversal of 420440044400016 is 610004440044024.

It is a self number, because there is not a number n which added to its sum of digits gives 420440044400016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30831441 + ... + 42325616.

Almost surely, 2^{420440044400016} is an apocalyptic number.

It is an amenable number.

420440044400016 is an abundant number, since it is smaller than the sum of its proper divisors (729750438144048).

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

420440044400016 is a wasteful number, since it uses less digits than its factorization.

420440044400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73164128 (or 73164122 counting only the distinct ones).

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

The spelling of 420440044400016 in words is "four hundred twenty trillion, four hundred forty billion, forty-four million, four hundred thousand, sixteen".