42023044032024 has 512 divisors, whose sum is σ = 121072699883520. Its totient is φ = 12040358400000.

The previous prime is 42023044031959. The next prime is 42023044032071.

42023044032024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42023044031982 and 42023044032000.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 39983866299 + ... + 39983867349.

It is an arithmetic number, because the mean of its divisors is an integer number (236470116960).

Almost surely, 2^{42023044032024} is an apocalyptic number.

42023044032024 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 42023044032024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60536349941760).

42023044032024 is an abundant number, since it is smaller than the sum of its proper divisors (79049655851496).

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

42023044032024 is a wasteful number, since it uses less digits than its factorization.

42023044032024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 4202304 and 4032024, that added together give a palindrome (8234328).

The spelling of 42023044032024 in words is "forty-two trillion, twenty-three billion, forty-four million, thirty-two thousand, twenty-four".