42865233256824 has 128 divisors (see below), whose sum is σ = 120071302560000. Its totient is φ = 12637711549440.

The previous prime is 42865233256823. The next prime is 42865233256841.

42865233256824 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42865233256823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196296052 + ... + 196514300.

It is an arithmetic number, because the mean of its divisors is an integer number (938057051250).

Almost surely, 2^{42865233256824} is an apocalyptic number.

42865233256824 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 42865233256824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60035651280000).

42865233256824 is an abundant number, since it is smaller than the sum of its proper divisors (77206069303176).

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

42865233256824 is a wasteful number, since it uses less digits than its factorization.

42865233256824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238413 (or 238409 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 42865233256824 in words is "forty-two trillion, eight hundred sixty-five billion, two hundred thirty-three million, two hundred fifty-six thousand, eight hundred twenty-four".