420142016 has 56 divisors (see below), whose sum is σ = 964387200. Its totient is φ = 177875712.

The previous prime is 420142013. The next prime is 420142043. The reversal of 420142016 is 610241024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420142013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31535 + ... + 42833.

It is an arithmetic number, because the mean of its divisors is an integer number (17221200).

Almost surely, 2^420142016 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 420142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482193600).

420142016 is an abundant number, since it is smaller than the sum of its proper divisors (544245184).

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

420142016 is a wasteful number, since it uses less digits than its factorization.

420142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 420142016 is about 20497.3660746936. The cubic root of 420142016 is about 748.9716371227.

The spelling of 420142016 in words is "four hundred twenty million, one hundred forty-two thousand, sixteen".