505408041600 has 1536 divisors, whose sum is σ = 2259009699840. Its totient is φ = 96082329600.

The previous prime is 505408041599. The next prime is 505408041629. The reversal of 505408041600 is 6140804505.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 464956257 + ... + 464957343.

It is an arithmetic number, because the mean of its divisors is an integer number (1470709440).

Almost surely, 2^505408041600 is an apocalyptic number.

505408041600 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 505408041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129504849920).

505408041600 is an abundant number, since it is smaller than the sum of its proper divisors (1753601658240).

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

505408041600 is a wasteful number, since it uses less digits than its factorization.

505408041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 505408041600 in words is "five hundred five billion, four hundred eight million, forty-one thousand, six hundred".