42002440 has 32 divisors (see below), whose sum is σ = 97767000. Its totient is φ = 16221184.

The previous prime is 42002431. The next prime is 42002449. The reversal of 42002440 is 4420024.

It is an interprime number because it is at equal distance from previous prime (42002431) and next prime (42002449).

It can be written as a sum of positive squares in 4 ways, for example, as 27394756 + 14607684 = 5234^2 + 3822^2 .

It is not an unprimeable number, because it can be changed into a prime (42002449) 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, 16945 + ... + 19264.

Almost surely, 2^42002440 is an apocalyptic number.

42002440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002440 is an abundant number, since it is smaller than the sum of its proper divisors (55764560).

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

42002440 is a wasteful number, since it uses less digits than its factorization.

42002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36249 (or 36245 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42002440 is about 6480.9289457608. The cubic root of 42002440 is about 347.6093957115.

Adding to 42002440 its reverse (4420024), we get a palindrome (46422464).

The spelling of 42002440 in words is "forty-two million, two thousand, four hundred forty".