13401414440 has 16 divisors (see below), whose sum is σ = 30153182580. Its totient is φ = 5360565760.

The previous prime is 13401414427. The next prime is 13401414451. The reversal of 13401414440 is 4441410431.

13401414440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11322236836 + 2079177604 = 106406^2 + 45598^2 .

It is a super-3 number, since 3×13401414440³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 167517641 + ... + 167517720.

Almost surely, 2^13401414440 is an apocalyptic number.

13401414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401414440 is an abundant number, since it is smaller than the sum of its proper divisors (16751768140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13401414440 is a wasteful number, since it uses less digits than its factorization.

13401414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335035372 (or 335035368 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13401414440 its reverse (4441410431), we get a palindrome (17842824871).

The spelling of 13401414440 in words is "thirteen billion, four hundred one million, four hundred fourteen thousand, four hundred forty".