40032333606321 has 243 divisors, whose sum is σ = 73591782207489. Its totient is φ = 20904369808896.

The previous prime is 40032333606277. The next prime is 40032333606323. The reversal of 40032333606321 is 12360633323004.

The square root of 40032333606321 is 6327111.

It is a perfect power (a square), and thus also a powerful number.

40032333606321 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 23 + 3 + 3 + 606 + 3 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18621909026721 + 21410424579600 = 4315311^2 + 4627140^2 .

It is not a de Polignac number, because 40032333606321 - 2⁷ = 40032333606193 is a prime.

It is a super-2 number, since 2×40032333606321² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40032333606323) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 83574808960 + ... + 83574809438.

Almost surely, 2^{40032333606321} is an apocalyptic number.

40032333606321 is the 6327111-st square number.

40032333606321 is the 3163556-th centered octagonal number.

It is an amenable number.

40032333606321 is a deficient number, since it is larger than the sum of its proper divisors (33559448601168).

40032333606321 is an equidigital number, since it uses as much as digits as its factorization.

40032333606321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 40032333606321 its reverse (12360633323004), we get a palindrome (52392966929325).

The spelling of 40032333606321 in words is "forty trillion, thirty-two billion, three hundred thirty-three million, six hundred six thousand, three hundred twenty-one".