505440000000 has 1152 divisors, whose sum is σ = 2037897126720. Its totient is φ = 124416000000.

The previous prime is 505439999893. The next prime is 505440000031. The reversal of 505440000000 is 44505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38879999994 + ... + 38880000006.

Almost surely, 2^505440000000 is an apocalyptic number.

505440000000 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 505440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018948563360).

505440000000 is an abundant number, since it is smaller than the sum of its proper divisors (1532457126720).

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

505440000000 is an frugal number, since it uses more digits than its factorization.

505440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

Adding to 505440000000 its reverse (44505), we get a palindrome (505440044505).

The spelling of 505440000000 in words is "five hundred five billion, four hundred forty million", and thus it is an aban number.