42180320 has 96 divisors (see below), whose sum is σ = 122689728. Its totient is φ = 13344768.

The previous prime is 42180317. The next prime is 42180329. The reversal of 42180320 is 2308124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42180292 and 42180301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42180329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13112 + ... + 16008.

It is an arithmetic number, because the mean of its divisors is an integer number (1278018).

Almost surely, 2^42180320 is an apocalyptic number.

42180320 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 42180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61344864).

42180320 is an abundant number, since it is smaller than the sum of its proper divisors (80509408).

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

42180320 is a wasteful number, since it uses less digits than its factorization.

42180320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42180320 is about 6494.6377882065. The cubic root of 42180320 is about 348.0994122995.

Adding to 42180320 its reverse (2308124), we get a palindrome (44488444).

The spelling of 42180320 in words is "forty-two million, one hundred eighty thousand, three hundred twenty".