42201320 has 64 divisors (see below), whose sum is σ = 113253120. Its totient is φ = 13837824.

The previous prime is 42201317. The next prime is 42201353. The reversal of 42201320 is 2310224.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 42201295 and 42201304.

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, 3164 + ... + 9716.

It is an arithmetic number, because the mean of its divisors is an integer number (1769580).

Almost surely, 2^42201320 is an apocalyptic number.

42201320 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 42201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56626560).

42201320 is an abundant number, since it is smaller than the sum of its proper divisors (71051800).

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

42201320 is a wasteful number, since it uses less digits than its factorization.

42201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42201320 is about 6496.2543053671. The cubic root of 42201320 is about 348.1571712643.

Adding to 42201320 its reverse (2310224), we get a palindrome (44511544).

The spelling of 42201320 in words is "forty-two million, two hundred one thousand, three hundred twenty".