505325452415040 has 168 divisors, whose sum is σ = 1738118219062680. Its totient is φ = 134752739549184.

The previous prime is 505325452415023. The next prime is 505325452415089. The reversal of 505325452415040 is 40514254523505.

505325452415040 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 2 + 5 + 452 + 4 + 150 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86500713931776 + 418824738483264 = 9300576^2 + 20465208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756924906 + ... + 757592214.

It is an arithmetic number, because the mean of its divisors is an integer number (10345941780135).

Almost surely, 2^{505325452415040} is an apocalyptic number.

It is an amenable number.

505325452415040 is an abundant number, since it is smaller than the sum of its proper divisors (1232792766647640).

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

505325452415040 is a wasteful number, since it uses less digits than its factorization.

505325452415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930269 (or 930256 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 505325452415040 in words is "five hundred five trillion, three hundred twenty-five billion, four hundred fifty-two million, four hundred fifteen thousand, forty".