13114240440 has 192 divisors, whose sum is σ = 45835113600. Its totient is φ = 2993018112.

The previous prime is 13114240429. The next prime is 13114240459. The reversal of 13114240440 is 4404241131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13114240440.

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 47 ways as a sum of consecutive naturals, for example, 5331931 + ... + 5334389.

It is an arithmetic number, because the mean of its divisors is an integer number (238724550).

Almost surely, 2^13114240440 is an apocalyptic number.

13114240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22917556800).

13114240440 is an abundant number, since it is smaller than the sum of its proper divisors (32720873160).

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

13114240440 is a wasteful number, since it uses less digits than its factorization.

13114240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13114240440 its reverse (4404241131), we get a palindrome (17518481571).

The spelling of 13114240440 in words is "thirteen billion, one hundred fourteen million, two hundred forty thousand, four hundred forty".