1004201001441 has 32 divisors (see below), whose sum is σ = 1623098150400. Its totient is φ = 608551529040.

The previous prime is 1004201001437. The next prime is 1004201001449. The reversal of 1004201001441 is 1441001024001.

1004201001441 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 100 + 144 + 1 = 666.

1004201001441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004201001441 - 2² = 1004201001437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004201001449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3258270 + ... + 3553128.

It is an arithmetic number, because the mean of its divisors is an integer number (50721817200).

Almost surely, 2^{1004201001441} is an apocalyptic number.

1004201001441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004201001441 is a deficient number, since it is larger than the sum of its proper divisors (618897148959).

1004201001441 is a wasteful number, since it uses less digits than its factorization.

1004201001441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306346 (or 306340 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1004201001441 its reverse (1441001024001), we get a palindrome (2445202025442).

The spelling of 1004201001441 in words is "one trillion, four billion, two hundred one million, one thousand, four hundred forty-one".