14561660400 has 240 divisors, whose sum is σ = 54042088704. Its totient is φ = 3282647040.

The previous prime is 14561660339. The next prime is 14561660417. The reversal of 14561660400 is 406616541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 601327 + ... + 625073.

Almost surely, 2^14561660400 is an apocalyptic number.

14561660400 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 14561660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021044352).

14561660400 is an abundant number, since it is smaller than the sum of its proper divisors (39480428304).

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

14561660400 is a wasteful number, since it uses less digits than its factorization.

14561660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23848 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 14561660400 in words is "fourteen billion, five hundred sixty-one million, six hundred sixty thousand, four hundred".