404404031002401 has 16 divisors (see below), whose sum is σ = 606700843513600. Its totient is φ = 266189995088784.

The previous prime is 404404031002373. The next prime is 404404031002423. The reversal of 404404031002401 is 104200130404404.

404404031002401 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 0 + 403 + 10 + 0 + 240 + 1 = 666.

It is not a de Polignac number, because 404404031002401 - 2⁵ = 404404031002369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404404031002901) 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, 94797004666 + ... + 94797008931.

It is an arithmetic number, because the mean of its divisors is an integer number (37918802719600).

Almost surely, 2^{404404031002401} is an apocalyptic number.

It is an amenable number.

404404031002401 is a deficient number, since it is larger than the sum of its proper divisors (202296812511199).

404404031002401 is a wasteful number, since it uses less digits than its factorization.

404404031002401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189594013685 (or 189594013679 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 404404031002401 its reverse (104200130404404), we get a palindrome (508604161406805).

The spelling of 404404031002401 in words is "four hundred four trillion, four hundred four billion, thirty-one million, two thousand, four hundred one".