4042004040 has 96 divisors (see below), whose sum is σ = 13144393080. Its totient is φ = 1077221376.

The previous prime is 4042004017. The next prime is 4042004051. The reversal of 4042004040 is 404002404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3068938404 + 973065636 = 55398^2 + 31194^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091472 + ... + 1095168.

Almost surely, 2^4042004040 is an apocalyptic number.

4042004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042004040 is an abundant number, since it is smaller than the sum of its proper divisors (9102389040).

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

4042004040 is a wasteful number, since it uses less digits than its factorization.

4042004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6744 counting only the distinct ones).

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

The square root of 4042004040 is about 63576.7570736350. The cubic root of 4042004040 is about 1592.9381533486.

Adding to 4042004040 its reverse (404002404), we get a palindrome (4446006444).

The spelling of 4042004040 in words is "four billion, forty-two million, four thousand, forty", and thus it is an eban number.