42213440 has 112 divisors (see below), whose sum is σ = 108630720. Its totient is φ = 15575040.

The previous prime is 42213419. The next prime is 42213449. The reversal of 42213440 is 4431224.

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

It is not an unprimeable number, because it can be changed into a prime (42213449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322175 + ... + 322305.

Almost surely, 2^42213440 is an apocalyptic number.

42213440 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 42213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54315360).

42213440 is an abundant number, since it is smaller than the sum of its proper divisors (66417280).

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

42213440 is a wasteful number, since it uses less digits than its factorization.

42213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42213440 is about 6497.1870836540. The cubic root of 42213440 is about 348.1904977181.

Adding to 42213440 its reverse (4431224), we get a palindrome (46644664).

The spelling of 42213440 in words is "forty-two million, two hundred thirteen thousand, four hundred forty".