42120016 has 30 divisors (see below), whose sum is σ = 86699870. Its totient is φ = 19819008.

The previous prime is 42120007. The next prime is 42120049. The reversal of 42120016 is 61002124.

It can be written as a sum of positive squares in 3 ways, for example, as 8526400 + 33593616 = 2920^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70 + ... + 9178.

Almost surely, 2^42120016 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 42120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43349935).

42120016 is an abundant number, since it is smaller than the sum of its proper divisors (44579854).

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

42120016 is a wasteful number, since it uses less digits than its factorization.

42120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 42120016 is about 6489.9935285022. The cubic root of 42120016 is about 347.9334439151.

The spelling of 42120016 in words is "forty-two million, one hundred twenty thousand, sixteen".