42263040 has 80 divisors (see below), whose sum is σ = 135134208. Its totient is φ = 11268096.

The previous prime is 42263027. The next prime is 42263047. The reversal of 42263040 is 4036224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42262998 and 42263016.

It is not an unprimeable number, because it can be changed into a prime (42263047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4929 + ... + 10431.

Almost surely, 2^42263040 is an apocalyptic number.

42263040 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 42263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67567104).

42263040 is an abundant number, since it is smaller than the sum of its proper divisors (92871168).

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

42263040 is an equidigital number, since it uses as much as digits as its factorization.

42263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42263040 is about 6501.0029995378. The cubic root of 42263040 is about 348.3268167753.

Adding to 42263040 its reverse (4036224), we get a palindrome (46299264).

The spelling of 42263040 in words is "forty-two million, two hundred sixty-three thousand, forty".