42278016 has 64 divisors (see below), whose sum is σ = 122522400. Its totient is φ = 12810240.

The previous prime is 42278009. The next prime is 42278029. The reversal of 42278016 is 61087224.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 9228.

Almost surely, 2^42278016 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 42278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61261200).

42278016 is an abundant number, since it is smaller than the sum of its proper divisors (80244384).

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

42278016 is a wasteful number, since it uses less digits than its factorization.

42278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 42278016 is about 6502.1547197833. The cubic root of 42278016 is about 348.3679553712.

The spelling of 42278016 in words is "forty-two million, two hundred seventy-eight thousand, sixteen".