505556460440 has 128 divisors (see below), whose sum is σ = 1302070334400. Its totient is φ = 175436513280.

The previous prime is 505556460419. The next prime is 505556460449. The reversal of 505556460440 is 44064655505.

It is a junction number, because it is equal to n+sod(n) for n = 505556460391 and 505556460400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505556460449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50741 + ... + 1006820.

Almost surely, 2^505556460440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505556460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651035167200).

505556460440 is an abundant number, since it is smaller than the sum of its proper divisors (796513873960).

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

505556460440 is a wasteful number, since it uses less digits than its factorization.

505556460440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057645 (or 1057641 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 505556460440 in words is "five hundred five billion, five hundred fifty-six million, four hundred sixty thousand, four hundred forty".