3000400040003 has 32 divisors (see below), whose sum is σ = 3123260301312. Its totient is φ = 2881027699200.

The previous prime is 3000400039999. The next prime is 3000400040023.

3000400040003 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3000400040003 - 2² = 3000400039999 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 3000400040003.

It is not an unprimeable number, because it can be changed into a prime (3000400040023) 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, 135612500 + ... + 135634622.

It is an arithmetic number, because the mean of its divisors is an integer number (97601884416).

Almost surely, 2^{3000400040003} is an apocalyptic number.

3000400040003 is a deficient number, since it is larger than the sum of its proper divisors (122860261309).

3000400040003 is a wasteful number, since it uses less digits than its factorization.

3000400040003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22595.

The product of its (nonzero) digits is 144, while the sum is 14.

It can be divided in two parts, 30004000 and 40003, that added together give a palindrome (30044003).

The spelling of 3000400040003 in words is "three trillion, four hundred million, forty thousand, three".