8142273507420 has 1152 divisors, whose sum is σ = 29442225254400. Its totient is φ = 1863788838912.

The previous prime is 8142273507383. The next prime is 8142273507427. The reversal of 8142273507420 is 247053722418.

8142273507420 is a `hidden beast` number, since 8 + 1 + 4 + 227 + 350 + 74 + 2 + 0 = 666.

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 (8142273507427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8333953972 + ... + 8333954948.

It is an arithmetic number, because the mean of its divisors is an integer number (25557487200).

Almost surely, 2^{8142273507420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142273507420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721112627200).

8142273507420 is an abundant number, since it is smaller than the sum of its proper divisors (21299951746980).

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

8142273507420 is a wasteful number, since it uses less digits than its factorization.

8142273507420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 8142273507420 in words is "eight trillion, one hundred forty-two billion, two hundred seventy-three million, five hundred seven thousand, four hundred twenty".