5040314344401 has 32 divisors (see below), whose sum is σ = 7844597913600. Its totient is φ = 2877469518672.

The previous prime is 5040314344391. The next prime is 5040314344463. The reversal of 5040314344401 is 1044434130405.

5040314344401 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 5040314344401 - 2⁵ = 5040314344369 is a prime.

It is a super-3 number, since 3×5040314344401³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5040314348401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210155 + ... + 3397808.

It is an arithmetic number, because the mean of its divisors is an integer number (245143684800).

Almost surely, 2^{5040314344401} is an apocalyptic number.

It is an amenable number.

5040314344401 is a deficient number, since it is larger than the sum of its proper divisors (2804283569199).

5040314344401 is a wasteful number, since it uses less digits than its factorization.

5040314344401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609050 (or 4609036 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 5040314344401 its reverse (1044434130405), we get a palindrome (6084748474806).

The spelling of 5040314344401 in words is "five trillion, forty billion, three hundred fourteen million, three hundred forty-four thousand, four hundred one".