4001071004 has 24 divisors (see below), whose sum is σ = 8072963808. Its totient is φ = 1699568640.

The previous prime is 4001070973. The next prime is 4001071013. The reversal of 4001071004 is 4001701004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629117 + ... + 635444.

It is an arithmetic number, because the mean of its divisors is an integer number (336373492).

Almost surely, 2^4001071004 is an apocalyptic number.

It is an amenable number.

4001071004 is an abundant number, since it is smaller than the sum of its proper divisors (4071892804).

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

4001071004 is a wasteful number, since it uses less digits than its factorization.

4001071004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264685 (or 1264683 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 4001071004 is about 63254.0196667374. The cubic root of 4001071004 is about 1587.5427153985.

Adding to 4001071004 its reverse (4001701004), we get a palindrome (8002772008).

The spelling of 4001071004 in words is "four billion, one million, seventy-one thousand, four".