505053410225040 has 240 divisors, whose sum is σ = 1696711137898608. Its totient is φ = 134635386322944.

The previous prime is 505053410225033. The next prime is 505053410225069. The reversal of 505053410225040 is 40522014350505.

505053410225040 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 534 + 10 + 22 + 50 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14591085949584 + 490462324275456 = 3819828^2 + 22146384^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505053410224986 and 505053410225004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54559076092 + ... + 54559085348.

Almost surely, 2^{505053410225040} is an apocalyptic number.

It is an amenable number.

505053410225040 is an abundant number, since it is smaller than the sum of its proper divisors (1191657727673568).

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

505053410225040 is a wasteful number, since it uses less digits than its factorization.

505053410225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26706 (or 26697 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 505053410225040 its reverse (40522014350505), we get a palindrome (545575424575545).

The spelling of 505053410225040 in words is "five hundred five trillion, fifty-three billion, four hundred ten million, two hundred twenty-five thousand, forty".