504142134401200 has 120 divisors (see below), whose sum is σ = 1223262632649456. Its totient is φ = 199648978560000.

The previous prime is 504142134401197. The next prime is 504142134401221. The reversal of 504142134401200 is 2104431241405.

It is a happy number.

It is a super-2 number, since 2×504142134401200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734169219 + ... + 734855581.

Almost surely, 2^{504142134401200} is an apocalyptic number.

504142134401200 is a gapful number since it is divisible by the number (50) 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 504142134401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611631316324728).

504142134401200 is an abundant number, since it is smaller than the sum of its proper divisors (719120498248256).

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

504142134401200 is a wasteful number, since it uses less digits than its factorization.

504142134401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704663 (or 704652 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 504142134401200 its reverse (2104431241405), we get a palindrome (506246565642605).

The spelling of 504142134401200 in words is "five hundred four trillion, one hundred forty-two billion, one hundred thirty-four million, four hundred one thousand, two hundred".