14566829940 has 576 divisors, whose sum is σ = 53519155200. Its totient is φ = 3275251200.

The previous prime is 14566829911. The next prime is 14566829947. The reversal of 14566829940 is 4992866541.

14566829940 is a `hidden beast` number, since 1 + 456 + 68 + 2 + 99 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14566829947) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53752005 + ... + 53752275.

It is an arithmetic number, because the mean of its divisors is an integer number (92915200).

Almost surely, 2^14566829940 is an apocalyptic number.

14566829940 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 14566829940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26759577600).

14566829940 is an abundant number, since it is smaller than the sum of its proper divisors (38952325260).

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

14566829940 is a wasteful number, since it uses less digits than its factorization.

14566829940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 14566829940 in words is "fourteen billion, five hundred sixty-six million, eight hundred twenty-nine thousand, nine hundred forty".