40324442304 has 224 divisors, whose sum is σ = 113320348416. Its totient is φ = 12637900800.

The previous prime is 40324442299. The next prime is 40324442317.

40324442304 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30852019 + ... + 30853325.

Almost surely, 2^40324442304 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 40324442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56660174208).

40324442304 is an abundant number, since it is smaller than the sum of its proper divisors (72995906112).

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

40324442304 is a wasteful number, since it uses less digits than its factorization.

40324442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1493 counting only the distinct ones).

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

The spelling of 40324442304 in words is "forty billion, three hundred twenty-four million, four hundred forty-two thousand, three hundred four".