42344244324 has 144 divisors (see below), whose sum is σ = 113553760320. Its totient is φ = 13281649920.

The previous prime is 42344244311. The next prime is 42344244359.

42344244324 is a `hidden beast` number, since 42 + 344 + 244 + 32 + 4 = 666.

42344244324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 29672899 + ... + 29674325.

It is an arithmetic number, because the mean of its divisors is an integer number (788567780).

Almost surely, 2^42344244324 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 42344244324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56776880160).

42344244324 is an abundant number, since it is smaller than the sum of its proper divisors (71209515996).

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

42344244324 is a wasteful number, since it uses less digits than its factorization.

42344244324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2165 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 42344244324 in words is "forty-two billion, three hundred forty-four million, two hundred forty-four thousand, three hundred twenty-four".