8007442441 has 24 divisors (see below), whose sum is σ = 8575791840. Its totient is φ = 7474795776.

The previous prime is 8007442397. The next prime is 8007442447. The reversal of 8007442441 is 1442447008.

It is not a de Polignac number, because 8007442441 - 2¹³ = 8007434249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8007442397 and 8007442406.

It is not an unprimeable number, because it can be changed into a prime (8007442447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12150570 + ... + 12151228.

It is an arithmetic number, because the mean of its divisors is an integer number (357324660).

Almost surely, 2^8007442441 is an apocalyptic number.

It is an amenable number.

8007442441 is a deficient number, since it is larger than the sum of its proper divisors (568349399).

8007442441 is a wasteful number, since it uses less digits than its factorization.

8007442441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 34.

The square root of 8007442441 is about 89484.3139382540. The cubic root of 8007442441 is about 2000.6200111899.

Adding to 8007442441 its reverse (1442447008), we get a palindrome (9449889449).

The spelling of 8007442441 in words is "eight billion, seven million, four hundred forty-two thousand, four hundred forty-one".