42365856324 has 144 divisors (see below), whose sum is σ = 110207579328. Its totient is φ = 12656160000.

The previous prime is 42365856311. The next prime is 42365856341.

42365856324 is nontrivially palindromic in base 10.

42365856324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45021694 + ... + 45022634.

It is an arithmetic number, because the mean of its divisors is an integer number (765330412).

Almost surely, 2^42365856324 is an apocalyptic number.

42365856324 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 42365856324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55103789664).

42365856324 is an abundant number, since it is smaller than the sum of its proper divisors (67841723004).

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

42365856324 is a wasteful number, since it uses less digits than its factorization.

42365856324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1365 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 42365856324 in words is "forty-two billion, three hundred sixty-five million, eight hundred fifty-six thousand, three hundred twenty-four".