13980430464 has 512 divisors, whose sum is σ = 51259944960. Its totient is φ = 3258040320.

The previous prime is 13980430439. The next prime is 13980430487. The reversal of 13980430464 is 46403408931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14221717 + ... + 14222699.

It is an arithmetic number, because the mean of its divisors is an integer number (100117080).

Almost surely, 2^13980430464 is an apocalyptic number.

13980430464 is a gapful number since it is divisible by the number (14) 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 13980430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25629972480).

13980430464 is an abundant number, since it is smaller than the sum of its proper divisors (37279514496).

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

13980430464 is a wasteful number, since it uses less digits than its factorization.

13980430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

It can be divided in two parts, 13980 and 430464, that added together give a palindrome (444444).

The spelling of 13980430464 in words is "thirteen billion, nine hundred eighty million, four hundred thirty thousand, four hundred sixty-four".