40043320022304 has 120 divisors (see below), whose sum is σ = 117788564897388. Its totient is φ = 13345248890880.

The previous prime is 40043320022297. The next prime is 40043320022347. The reversal of 40043320022304 is 40322002334004.

40043320022304 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 332 + 0 + 0 + 22 + 304 = 666.

40043320022304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39596160332304 + 447159690000 = 6292548^2 + 668700^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12271564 + ... + 15188084.

Almost surely, 2^{40043320022304} 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 40043320022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58894282448694).

40043320022304 is an abundant number, since it is smaller than the sum of its proper divisors (77745244875084).

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

40043320022304 is a wasteful number, since it uses less digits than its factorization.

40043320022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921840 (or 2921823 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 40043320022304 its reverse (40322002334004), we get a palindrome (80365322356308).

The spelling of 40043320022304 in words is "forty trillion, forty-three billion, three hundred twenty million, twenty-two thousand, three hundred four".