42814579860 has 480 divisors, whose sum is σ = 154624525440. Its totient is φ = 9829112832.

The previous prime is 42814579811. The next prime is 42814579889. The reversal of 42814579860 is 6897541824.

It is a happy number.

42814579860 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 4 + 579 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42814579797 and 42814579806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26808582 + ... + 26810178.

It is an arithmetic number, because the mean of its divisors is an integer number (322134428).

Almost surely, 2^42814579860 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 42814579860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77312262720).

42814579860 is an abundant number, since it is smaller than the sum of its proper divisors (111809945580).

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

42814579860 is a wasteful number, since it uses less digits than its factorization.

42814579860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 42814579860 in words is "forty-two billion, eight hundred fourteen million, five hundred seventy-nine thousand, eight hundred sixty".