4002001404401 has 48 divisors (see below), whose sum is σ = 5522369344128. Its totient is φ = 2850614726400.

The previous prime is 4002001404353. The next prime is 4002001404421. The reversal of 4002001404401 is 1044041002004.

It is a happy number.

4002001404401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002001404401 - 2¹⁰ = 4002001403377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4002001404421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2050820 + ... + 3494261.

It is an arithmetic number, because the mean of its divisors is an integer number (115049361336).

Almost surely, 2^{4002001404401} is an apocalyptic number.

It is an amenable number.

4002001404401 is a deficient number, since it is larger than the sum of its proper divisors (1520367939727).

4002001404401 is a wasteful number, since it uses less digits than its factorization.

4002001404401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545222 (or 5545215 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4002001404401 its reverse (1044041002004), we get a palindrome (5046042406405).

The spelling of 4002001404401 in words is "four trillion, two billion, one million, four hundred four thousand, four hundred one".