4404004040 has 32 divisors (see below), whose sum is σ = 9910901880. Its totient is φ = 1761265152.

The previous prime is 4404004013. The next prime is 4404004067. The reversal of 4404004040 is 404004044.

It is an interprime number because it is at equal distance from previous prime (4404004013) and next prime (4404004067).

It can be written as a sum of positive squares in 4 ways, for example, as 3015547396 + 1388456644 = 54914^2 + 37262^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387722 + ... + 398918.

Almost surely, 2^4404004040 is an apocalyptic number.

4404004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404004040 is an abundant number, since it is smaller than the sum of its proper divisors (5506897840).

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

4404004040 is a wasteful number, since it uses less digits than its factorization.

4404004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21041 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4404004040 is about 66362.6705309544. The cubic root of 4404004040 is about 1639.1394503709.

Adding to 4404004040 its reverse (404004044), we get a palindrome (4808008084).

The spelling of 4404004040 in words is "four billion, four hundred four million, four thousand, forty".