14115413520 has 240 divisors, whose sum is σ = 52698627072. Its totient is φ = 3362411520.

The previous prime is 14115413461. The next prime is 14115413537. The reversal of 14115413520 is 2531451141.

14115413520 is a `hidden beast` number, since 14 + 115 + 4 + 13 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265837 + ... + 314483.

Almost surely, 2^14115413520 is an apocalyptic number.

14115413520 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 14115413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26349313536).

14115413520 is an abundant number, since it is smaller than the sum of its proper divisors (38583213552).

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

14115413520 is a wasteful number, since it uses less digits than its factorization.

14115413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48710 (or 48701 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 14115413520 its reverse (2531451141), we get a palindrome (16646864661).

The spelling of 14115413520 in words is "fourteen billion, one hundred fifteen million, four hundred thirteen thousand, five hundred twenty".