13140400014 has 64 divisors (see below), whose sum is σ = 34148590080. Its totient is φ = 3667083840.

The previous prime is 13140400003. The next prime is 13140400037. The reversal of 13140400014 is 41000404131.

It is a super-2 number, since 2×13140400014² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13140400014.

It is a congruent number.

It is an unprimeable number.

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, 387967 + ... + 420474.

It is an arithmetic number, because the mean of its divisors is an integer number (533571720).

Almost surely, 2^13140400014 is an apocalyptic number.

13140400014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13140400014 is an abundant number, since it is smaller than the sum of its proper divisors (21008190066).

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

13140400014 is a wasteful number, since it uses less digits than its factorization.

13140400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808502 (or 808496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13140400014 its reverse (41000404131), we get a palindrome (54140804145).

The spelling of 13140400014 in words is "thirteen billion, one hundred forty million, four hundred thousand, fourteen".