1007441001 has 24 divisors (see below), whose sum is σ = 1674254400. Its totient is φ = 571811616.

The previous prime is 1007440999. The next prime is 1007441041. The reversal of 1007441001 is 1001447001.

It is not a de Polignac number, because 1007441001 - 2¹ = 1007440999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007441041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44275 + ... + 63048.

It is an arithmetic number, because the mean of its divisors is an integer number (69760600).

Almost surely, 2^1007441001 is an apocalyptic number.

It is an amenable number.

1007441001 is a deficient number, since it is larger than the sum of its proper divisors (666813399).

1007441001 is a wasteful number, since it uses less digits than its factorization.

1007441001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107485 (or 107482 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1007441001 is about 31740.2111051581. The cubic root of 1007441001 is about 1002.4742069180.

Adding to 1007441001 its reverse (1001447001), we get a palindrome (2008888002).

The spelling of 1007441001 in words is "one billion, seven million, four hundred forty-one thousand, one".