42333444 has 72 divisors (see below), whose sum is σ = 114660000. Its totient is φ = 13129344.

The previous prime is 42333437. The next prime is 42333491. The reversal of 42333444 is 44433324.

It is a super-2 number, since 2×42333444² = 3584240961802272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39832 + ... + 40880.

It is an arithmetic number, because the mean of its divisors is an integer number (1592500).

Almost surely, 2^42333444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42333444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330000).

42333444 is an abundant number, since it is smaller than the sum of its proper divisors (72326556).

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

42333444 is a wasteful number, since it uses less digits than its factorization.

42333444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1132 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 42333444 is about 6506.4156030798. The cubic root of 42333444 is about 348.5201298627.

Adding to 42333444 its reverse (44433324), we get a palindrome (86766768).

The spelling of 42333444 in words is "forty-two million, three hundred thirty-three thousand, four hundred forty-four".