505212040410 has 256 divisors, whose sum is σ = 1607031705600. Its totient is φ = 98468352000.

The previous prime is 505212040379. The next prime is 505212040453. The reversal of 505212040410 is 14040212505.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4375906 + ... + 4489874.

It is an arithmetic number, because the mean of its divisors is an integer number (6277467600).

Almost surely, 2^505212040410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505212040410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803515852800).

505212040410 is an abundant number, since it is smaller than the sum of its proper divisors (1101819665190).

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

505212040410 is a wasteful number, since it uses less digits than its factorization.

505212040410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114117.

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 505212040410 its reverse (14040212505), we get a palindrome (519252252915).

The spelling of 505212040410 in words is "five hundred five billion, two hundred twelve million, forty thousand, four hundred ten".