42842979440128 has 320 divisors, whose sum is σ = 105421623120000. Its totient is φ = 16975700951040.

The previous prime is 42842979440081. The next prime is 42842979440197. The reversal of 42842979440128 is 82104497924824.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42842979440128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3006728748 + ... + 3006742996.

It is an arithmetic number, because the mean of its divisors is an integer number (329442572250).

Almost surely, 2^{42842979440128} 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 42842979440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52710811560000).

42842979440128 is an abundant number, since it is smaller than the sum of its proper divisors (62578643679872).

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

42842979440128 is a wasteful number, since it uses less digits than its factorization.

42842979440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15161 (or 15145 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 42842979440128 in words is "forty-two trillion, eight hundred forty-two billion, nine hundred seventy-nine million, four hundred forty thousand, one hundred twenty-eight".