1003004420401 has 16 divisors (see below), whose sum is σ = 1026497318400. Its totient is φ = 979603376128.

The previous prime is 1003004420377. The next prime is 1003004420417. The reversal of 1003004420401 is 1040244003001.

1003004420401 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 1003004420401 - 2⁹ = 1003004419889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003004420461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46491345 + ... + 46512913.

It is an arithmetic number, because the mean of its divisors is an integer number (64156082400).

Almost surely, 2^{1003004420401} is an apocalyptic number.

It is an amenable number.

1003004420401 is a deficient number, since it is larger than the sum of its proper divisors (23492897999).

1003004420401 is a wasteful number, since it uses less digits than its factorization.

1003004420401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23648.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1003004420401 its reverse (1040244003001), we get a palindrome (2043248423402).

The spelling of 1003004420401 in words is "one trillion, three billion, four million, four hundred twenty thousand, four hundred one".