42616128 has 56 divisors (see below), whose sum is σ = 113495328. Its totient is φ = 14112256.

The previous prime is 42616099. The next prime is 42616129. The reversal of 42616128 is 82161624.

It is a super-2 number, since 2×42616128² = 3632268731424768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42616095 and 42616104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42616129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32575 + ... + 33857.

Almost surely, 2^42616128 is an apocalyptic number.

42616128 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 42616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56747664).

42616128 is an abundant number, since it is smaller than the sum of its proper divisors (70879200).

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

42616128 is a wasteful number, since it uses less digits than its factorization.

42616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1461 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 42616128 is about 6528.1029403648. The cubic root of 42616128 is about 349.2941639098.

The spelling of 42616128 in words is "forty-two million, six hundred sixteen thousand, one hundred twenty-eight".