480361411530 has 256 divisors, whose sum is σ = 1719896371200. Its totient is φ = 92137201920.

The previous prime is 480361411529. The next prime is 480361411567. The reversal of 480361411530 is 35114163084.

480361411530 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 614 + 1 + 1 + 5 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 618400 + ... + 1158939.

It is an arithmetic number, because the mean of its divisors is an integer number (6718345200).

Almost surely, 2^480361411530 is an apocalyptic number.

480361411530 is an abundant number, since it is smaller than the sum of its proper divisors (1239534959670).

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

480361411530 is a wasteful number, since it uses less digits than its factorization.

480361411530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777386 (or 1777380 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 480361411530 in words is "four hundred eighty billion, three hundred sixty-one million, four hundred eleven thousand, five hundred thirty".