42128870784 has 512 divisors, whose sum is σ = 151608360960. Its totient is φ = 10009681920.

The previous prime is 42128870747. The next prime is 42128870801. The reversal of 42128870784 is 48707882124.

It is a happy number.

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, 48816337 + ... + 48817199.

It is an arithmetic number, because the mean of its divisors is an integer number (296110080).

Almost surely, 2^42128870784 is an apocalyptic number.

42128870784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42128870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75804180480).

42128870784 is an abundant number, since it is smaller than the sum of its proper divisors (109479490176).

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

42128870784 is a wasteful number, since it uses less digits than its factorization.

42128870784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 42128870784 in words is "forty-two billion, one hundred twenty-eight million, eight hundred seventy thousand, seven hundred eighty-four".