40332022023304 has 64 divisors (see below), whose sum is σ = 83004480639360. Its totient is φ = 18220069271040.

The previous prime is 40332022023281. The next prime is 40332022023317.

40332022023304 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 93795804 + ... + 94224820.

It is an arithmetic number, because the mean of its divisors is an integer number (1296945009990).

Almost surely, 2^{40332022023304} is an apocalyptic number.

40332022023304 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 40332022023304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41502240319680).

40332022023304 is an abundant number, since it is smaller than the sum of its proper divisors (42672458616056).

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

40332022023304 is a wasteful number, since it uses less digits than its factorization.

40332022023304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435598 (or 435594 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 4033202 and 2023304, that added together give a palindrome (6056506).

The spelling of 40332022023304 in words is "forty trillion, three hundred thirty-two billion, twenty-two million, twenty-three thousand, three hundred four".