40323133132304 has 80 divisors (see below), whose sum is σ = 86163211826496. Its totient is φ = 18128054208000.

The previous prime is 40323133132291. The next prime is 40323133132307.

40323133132304 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40323133132307) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15636194 + ... + 18031550.

Almost surely, 2^{40323133132304} is an apocalyptic number.

40323133132304 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 40323133132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43081605913248).

40323133132304 is an abundant number, since it is smaller than the sum of its proper divisors (45840078694192).

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

40323133132304 is a wasteful number, since it uses less digits than its factorization.

40323133132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396424 (or 2396418 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 4032313 and 3132304, that added together give a palindrome (7164617).

The spelling of 40323133132304 in words is "forty trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred four".