424000442016 has 72 divisors (see below), whose sum is σ = 1206383117940. Its totient is φ = 141259416576.

The previous prime is 424000441999. The next prime is 424000442027. The reversal of 424000442016 is 610244000424.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 373736595600 + 50263846416 = 611340^2 + 224196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166150 + ... + 935738.

Almost surely, 2^424000442016 is an apocalyptic number.

It is an amenable number.

424000442016 is an abundant number, since it is smaller than the sum of its proper divisors (782382675924).

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

424000442016 is a wasteful number, since it uses less digits than its factorization.

424000442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771518 (or 771507 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 424000442016 in words is "four hundred twenty-four billion, four hundred forty-two thousand, sixteen".