42958877885924 has 288 divisors, whose sum is σ = 109784451893760. Its totient is φ = 14268421601280.

The previous prime is 42958877885897. The next prime is 42958877885927.

42958877885924 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42958877885927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28646192 + ... + 30108504.

It is an arithmetic number, because the mean of its divisors is an integer number (381196013520).

Almost surely, 2^{42958877885924} is an apocalyptic number.

42958877885924 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 42958877885924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54892225946880).

42958877885924 is an abundant number, since it is smaller than the sum of its proper divisors (66825574007836).

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

42958877885924 is a wasteful number, since it uses less digits than its factorization.

42958877885924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462411 (or 1462398 counting only the distinct ones).

The product of its digits is 26011238400, while the sum is 86.

The spelling of 42958877885924 in words is "forty-two trillion, nine hundred fifty-eight billion, eight hundred seventy-seven million, eight hundred eighty-five thousand, nine hundred twenty-four".