14420527400500 has 288 divisors, whose sum is σ = 35014888228320. Its totient is φ = 5182794240000.

The previous prime is 14420527400483. The next prime is 14420527400507. The reversal of 14420527400500 is 500472502441.

It can be written as a sum of positive squares in 48 ways, for example, as 9747208690704 + 4673318709796 = 3122052^2 + 2161786^2 .

It is a super-2 number, since 2×14420527400500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420527400507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1597129986 + ... + 1597139014.

It is an arithmetic number, because the mean of its divisors is an integer number (121579473015).

Almost surely, 2^{14420527400500} is an apocalyptic number.

14420527400500 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 14420527400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507444114160).

14420527400500 is an abundant number, since it is smaller than the sum of its proper divisors (20594360827820).

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

14420527400500 is a wasteful number, since it uses less digits than its factorization.

14420527400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

Adding to 14420527400500 its reverse (500472502441), we get a palindrome (14920999902941).

The spelling of 14420527400500 in words is "fourteen trillion, four hundred twenty billion, five hundred twenty-seven million, four hundred thousand, five hundred".