3004777420401 has 8 divisors (see below), whose sum is σ = 4018258233184. Its totient is φ = 1997240777280.

The previous prime is 3004777420331. The next prime is 3004777420441. The reversal of 3004777420401 is 1040247774003.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3004777420401 - 2¹¹ = 3004777418353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3004777420401.

It is not an unprimeable number, because it can be changed into a prime (3004777420441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486041235 + ... + 1486043256.

It is an arithmetic number, because the mean of its divisors is an integer number (502282279148).

Almost surely, 2^{3004777420401} is an apocalyptic number.

It is an amenable number.

3004777420401 is a deficient number, since it is larger than the sum of its proper divisors (1013480812783).

3004777420401 is a wasteful number, since it uses less digits than its factorization.

3004777420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972084831.

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 3004777420401 in words is "three trillion, four billion, seven hundred seventy-seven million, four hundred twenty thousand, four hundred one".