505242135400 has 192 divisors, whose sum is σ = 1260119347200. Its totient is φ = 187971840000.

The previous prime is 505242135379. The next prime is 505242135427. The reversal of 505242135400 is 4531242505.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40089100 + ... + 40101700.

It is an arithmetic number, because the mean of its divisors is an integer number (6563121600).

Almost surely, 2^505242135400 is an apocalyptic number.

505242135400 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 505242135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630059673600).

505242135400 is an abundant number, since it is smaller than the sum of its proper divisors (754877211800).

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

505242135400 is a wasteful number, since it uses less digits than its factorization.

505242135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12900 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 505242135400 its reverse (4531242505), we get a palindrome (509773377905).

The spelling of 505242135400 in words is "five hundred five billion, two hundred forty-two million, one hundred thirty-five thousand, four hundred".