42041328 has 80 divisors (see below), whose sum is σ = 124920576. Its totient is φ = 11934720.

The previous prime is 42041299. The next prime is 42041341. The reversal of 42041328 is 82314024.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 42041298 and 42041307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70600 + ... + 71192.

Almost surely, 2^42041328 is an apocalyptic number.

42041328 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 42041328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460288).

42041328 is an abundant number, since it is smaller than the sum of its proper divisors (82879248).

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

42041328 is a wasteful number, since it uses less digits than its factorization.

42041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42041328 is about 6483.9284388401. The cubic root of 42041328 is about 347.7166407865.

The spelling of 42041328 in words is "forty-two million, forty-one thousand, three hundred twenty-eight".