14514215040 has 448 divisors, whose sum is σ = 56048471640. Its totient is φ = 3571236864.

The previous prime is 14514215033. The next prime is 14514215077. The reversal of 14514215040 is 4051241541.

14514215040 is a `hidden beast` number, since 14 + 5 + 142 + 1 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4512614976 + 10001600064 = 67176^2 + 100008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14514214995 and 14514215013.

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 55 ways as a sum of consecutive naturals, for example, 6064084 + ... + 6066476.

Almost surely, 2^14514215040 is an apocalyptic number.

14514215040 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 14514215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024235820).

14514215040 is an abundant number, since it is smaller than the sum of its proper divisors (41534256600).

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

14514215040 is an equidigital number, since it uses as much as digits as its factorization.

14514215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 14514215040 its reverse (4051241541), we get a palindrome (18565456581).

The spelling of 14514215040 in words is "fourteen billion, five hundred fourteen million, two hundred fifteen thousand, forty".