42058320 has 80 divisors (see below), whose sum is σ = 134610432. Its totient is φ = 10851840.

The previous prime is 42058301. The next prime is 42058363. The reversal of 42058320 is 2385024.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 4614 + ... + 10266.

Almost surely, 2^42058320 is an apocalyptic number.

42058320 is a gapful number since it is divisible by the number (40) 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 42058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67305216).

42058320 is an abundant number, since it is smaller than the sum of its proper divisors (92552112).

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

42058320 is a wasteful number, since it uses less digits than its factorization.

42058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42058320 is about 6485.2386232119. The cubic root of 42058320 is about 347.7634804529.

The spelling of 42058320 in words is "forty-two million, fifty-eight thousand, three hundred twenty".