42028977982024 has 128 divisors (see below), whose sum is σ = 91842622778880. Its totient is φ = 17818911129600.

The previous prime is 42028977981937. The next prime is 42028977982031.

42028977982024 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317808062 + ... + 2317826194.

It is an arithmetic number, because the mean of its divisors is an integer number (717520490460).

Almost surely, 2^{42028977982024} is an apocalyptic number.

42028977982024 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 42028977982024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45921311389440).

42028977982024 is an abundant number, since it is smaller than the sum of its proper divisors (49813644796856).

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

42028977982024 is a wasteful number, since it uses less digits than its factorization.

42028977982024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31991 (or 31987 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 42028977982024 in words is "forty-two trillion, twenty-eight billion, nine hundred seventy-seven million, nine hundred eighty-two thousand, twenty-four".