1001000441 has 8 divisors (see below), whose sum is σ = 1151020224. Its totient is φ = 852735600.

The previous prime is 1001000417. The next prime is 1001000459. The reversal of 1001000441 is 1440001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001000441 - 2²⁶ = 933891577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001000471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437510 + ... + 439791.

It is an arithmetic number, because the mean of its divisors is an integer number (143877528).

Almost surely, 2^1001000441 is an apocalyptic number.

It is an amenable number.

1001000441 is a deficient number, since it is larger than the sum of its proper divisors (150019783).

1001000441 is an equidigital number, since it uses as much as digits as its factorization.

1001000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877471.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1001000441 is about 31638.5910084504. The cubic root of 1001000441 is about 1000.3333691860. Note that the first 4 decimals are identical.

Adding to 1001000441 its reverse (1440001001), we get a palindrome (2441001442).

The spelling of 1001000441 in words is "one billion, one million, four hundred forty-one", and thus it is an aban number.