13779040401 has 12 divisors (see below), whose sum is σ = 22746352512. Its totient is φ = 7873737336.

The previous prime is 13779040349. The next prime is 13779040403. The reversal of 13779040401 is 10404097731.

13779040401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13779040401 - 2¹⁷ = 13778909329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13779040403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109357401 + ... + 109357526.

It is an arithmetic number, because the mean of its divisors is an integer number (1895529376).

Almost surely, 2^13779040401 is an apocalyptic number.

It is an amenable number.

13779040401 is a deficient number, since it is larger than the sum of its proper divisors (8967312111).

13779040401 is a wasteful number, since it uses less digits than its factorization.

13779040401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218714940 (or 218714937 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13779040401 in words is "thirteen billion, seven hundred seventy-nine million, forty thousand, four hundred one".