42016128 has 256 divisors, whose sum is σ = 146880000. Its totient is φ = 10536960.

The previous prime is 42016109. The next prime is 42016151. The reversal of 42016128 is 82161024.

It is a super-2 number, since 2×42016128² = 3530710024224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42016098 and 42016107.

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, 1448818 + ... + 1448846.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^42016128 is an apocalyptic number.

42016128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

42016128 is an abundant number, since it is smaller than the sum of its proper divisors (104863872).

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

42016128 is a wasteful number, since it uses less digits than its factorization.

42016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 42016128 is about 6481.9848811919. The cubic root of 42016128 is about 347.6471519358.

Subtracting 42016128 from its reverse (82161024), we obtain a square (40144896 = 6336²).

The spelling of 42016128 in words is "forty-two million, sixteen thousand, one hundred twenty-eight".