42838046402868 has 144 divisors (see below), whose sum is σ = 114757665422400. Its totient is φ = 13450641684480.

The previous prime is 42838046402867. The next prime is 42838046402887. The reversal of 42838046402868 is 86820464083824.

It is a super-2 number, since 2×42838046402868² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42838046402861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38006788 + ... + 39117668.

It is an arithmetic number, because the mean of its divisors is an integer number (796928232100).

Almost surely, 2^{42838046402868} 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 42838046402868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57378832711200).

42838046402868 is an abundant number, since it is smaller than the sum of its proper divisors (71919619019532).

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

42838046402868 is a wasteful number, since it uses less digits than its factorization.

42838046402868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111822 (or 1111817 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 42838046402868 in words is "forty-two trillion, eight hundred thirty-eight billion, forty-six million, four hundred two thousand, eight hundred sixty-eight".