505865107440 has 400 divisors, whose sum is σ = 2190478371840. Its totient is φ = 105114723840.

The previous prime is 505865107387. The next prime is 505865107453. The reversal of 505865107440 is 44701568505.

505865107440 is a `hidden beast` number, since 50 + 5 + 86 + 510 + 7 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7960 + ... + 1005879.

Almost surely, 2^505865107440 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 505865107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095239185920).

505865107440 is an abundant number, since it is smaller than the sum of its proper divisors (1684613264400).

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

505865107440 is a wasteful number, since it uses less digits than its factorization.

505865107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013882 (or 1013867 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 505865107440 in words is "five hundred five billion, eight hundred sixty-five million, one hundred seven thousand, four hundred forty".