42021320 has 64 divisors (see below), whose sum is σ = 105589440. Its totient is φ = 14918400.

The previous prime is 42021313. The next prime is 42021341. The reversal of 42021320 is 2312024.

It is a junction number, because it is equal to n+sod(n) for n = 42021295 and 42021304.

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, 17810 + ... + 20030.

It is an arithmetic number, because the mean of its divisors is an integer number (1649835).

Almost surely, 2^42021320 is an apocalyptic number.

42021320 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 42021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52794720).

42021320 is an abundant number, since it is smaller than the sum of its proper divisors (63568120).

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

42021320 is a wasteful number, since it uses less digits than its factorization.

42021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2282 counting only the distinct ones).

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

The square root of 42021320 is about 6482.3853634291. The cubic root of 42021320 is about 347.6614711171.

Adding to 42021320 its reverse (2312024), we get a palindrome (44333344).

The spelling of 42021320 in words is "forty-two million, twenty-one thousand, three hundred twenty".