42819559146 has 192 divisors, whose sum is σ = 121164744960. Its totient is φ = 11107393920.

The previous prime is 42819559127. The next prime is 42819559151. The reversal of 42819559146 is 64195591824.

42819559146 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 9 + 5 + 591 + 46 = 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 = 42819559092 and 42819559101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2088075 + ... + 2108481.

It is an arithmetic number, because the mean of its divisors is an integer number (631066380).

Almost surely, 2^42819559146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42819559146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60582372480).

42819559146 is an abundant number, since it is smaller than the sum of its proper divisors (78345185814).

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

42819559146 is a wasteful number, since it uses less digits than its factorization.

42819559146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20506 (or 20493 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 42819559146 in words is "forty-two billion, eight hundred nineteen million, five hundred fifty-nine thousand, one hundred forty-six".