1004031001441 has 16 divisors (see below), whose sum is σ = 1082673768960. Its totient is φ = 925590219840.

The previous prime is 1004031001429. The next prime is 1004031001507. The reversal of 1004031001441 is 1441001304001.

It is not a de Polignac number, because 1004031001441 - 2⁵ = 1004031001409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004031002441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48077640 + ... + 48098518.

It is an arithmetic number, because the mean of its divisors is an integer number (67667110560).

Almost surely, 2^{1004031001441} is an apocalyptic number.

It is an amenable number.

1004031001441 is a deficient number, since it is larger than the sum of its proper divisors (78642767519).

1004031001441 is a wasteful number, since it uses less digits than its factorization.

1004031001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25536.

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

Adding to 1004031001441 its reverse (1441001304001), we get a palindrome (2445032305442).

The spelling of 1004031001441 in words is "one trillion, four billion, thirty-one million, one thousand, four hundred forty-one".