42401016 has 128 divisors (see below), whose sum is σ = 139392000. Its totient is φ = 11684736.

The previous prime is 42400991. The next prime is 42401033. The reversal of 42401016 is 61010424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 42401016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43365 + ... + 44331.

It is an arithmetic number, because the mean of its divisors is an integer number (1089000).

Almost surely, 2^42401016 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 42401016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69696000).

42401016 is an abundant number, since it is smaller than the sum of its proper divisors (96990984).

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

42401016 is a wasteful number, since it uses less digits than its factorization.

42401016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42401016 is about 6511.6062534524. The cubic root of 42401016 is about 348.7054654660.

The spelling of 42401016 in words is "forty-two million, four hundred one thousand, sixteen".