1001413441 has 24 divisors (see below), whose sum is σ = 1240741800. Its totient is φ = 803077632.

The previous prime is 1001413433. The next prime is 1001413453. The reversal of 1001413441 is 1443141001.

1001413441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 701985025 + 299428416 = 26495^2 + 17304^2 .

It is not a de Polignac number, because 1001413441 - 2³ = 1001413433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001413421) 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, 140635 + ... + 147583.

It is an arithmetic number, because the mean of its divisors is an integer number (51697575).

Almost surely, 2^1001413441 is an apocalyptic number.

It is an amenable number.

1001413441 is a deficient number, since it is larger than the sum of its proper divisors (239328359).

1001413441 is a wasteful number, since it uses less digits than its factorization.

1001413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1001413441 is about 31645.1171746922. The cubic root of 1001413441 is about 1000.4709251946.

Adding to 1001413441 its reverse (1443141001), we get a palindrome (2444554442).

The spelling of 1001413441 in words is "one billion, one million, four hundred thirteen thousand, four hundred forty-one".