8142730485120 has 512 divisors, whose sum is σ = 35954919705600. Its totient is φ = 1691995668480.

The previous prime is 8142730485119. The next prime is 8142730485143. The reversal of 8142730485120 is 215840372418.

8142730485120 is a `hidden beast` number, since 8 + 1 + 42 + 7 + 3 + 0 + 485 + 120 = 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 63 ways as a sum of consecutive naturals, for example, 1729329 + ... + 4390448.

It is an arithmetic number, because the mean of its divisors is an integer number (70224452550).

Almost surely, 2^{8142730485120} is an apocalyptic number.

8142730485120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8142730485120 is an abundant number, since it is smaller than the sum of its proper divisors (27812189220480).

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

8142730485120 is a wasteful number, since it uses less digits than its factorization.

8142730485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119823 (or 6119805 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 8142730485120 in words is "eight trillion, one hundred forty-two billion, seven hundred thirty million, four hundred eighty-five thousand, one hundred twenty".