42004440 has 256 divisors, whose sum is σ = 155520000. Its totient is φ = 10036224.

The previous prime is 42004439. The next prime is 42004451. The reversal of 42004440 is 4440024.

It is a happy number.

42004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471916 + ... + 472004.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 2^42004440 is an apocalyptic number.

42004440 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 42004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

42004440 is an abundant number, since it is smaller than the sum of its proper divisors (113515560).

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

42004440 is a wasteful number, since it uses less digits than its factorization.

42004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42004440 is about 6481.0832427921. The cubic root of 42004440 is about 347.6149129128.

Adding to 42004440 its reverse (4440024), we get a palindrome (46444464).

The spelling of 42004440 in words is "forty-two million, four thousand, four hundred forty".