40332244223304 has 144 divisors (see below), whose sum is σ = 127128920487660. Its totient is φ = 11502957312000.

The previous prime is 40332244223267. The next prime is 40332244223461.

40332244223304 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 224 + 422 + 3 + 3 + 0 + 4 = 666.

40332244223304 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 32921316044100 + 7410928179204 = 5737710^2 + 2722302^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136013797 + ... + 136310004.

Almost surely, 2^{40332244223304} is an apocalyptic number.

40332244223304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40332244223304 is an abundant number, since it is smaller than the sum of its proper divisors (86796676264356).

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

40332244223304 is a wasteful number, since it uses less digits than its factorization.

40332244223304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272323852 (or 272323834 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4033224 and 4223304, that added together give a palindrome (8256528).

The spelling of 40332244223304 in words is "forty trillion, three hundred thirty-two billion, two hundred forty-four million, two hundred twenty-three thousand, three hundred four".