505345424351040 has 672 divisors, whose sum is σ = 2197114472716800. Its totient is φ = 103740644671488.

The previous prime is 505345424351029. The next prime is 505345424351041. The reversal of 505345424351040 is 40153424543505.

505345424351040 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 4 + 54 + 2 + 43 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505345424351041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16359940 + ... + 35753859.

It is an arithmetic number, because the mean of its divisors is an integer number (3269515584400).

Almost surely, 2^{505345424351040} is an apocalyptic number.

It is an amenable number.

505345424351040 is an abundant number, since it is smaller than the sum of its proper divisors (1691769048365760).

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

505345424351040 is a wasteful number, since it uses less digits than its factorization.

505345424351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52113879 (or 52113866 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 505345424351040 its reverse (40153424543505), we get a palindrome (545498848894545).

The spelling of 505345424351040 in words is "five hundred five trillion, three hundred forty-five billion, four hundred twenty-four million, three hundred fifty-one thousand, forty".