329453040400 has 135 divisors (see below), whose sum is σ = 870341473183. Its totient is φ = 119755187200.

The previous prime is 329453040349. The next prime is 329453040407. The reversal of 329453040400 is 4040354923.

It is a happy number.

The square root of 329453040400 is 573980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8480936464 + 320972103936 = 92092^2 + 566544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329453040407) 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 26 ways as a sum of consecutive naturals, for example, 126274296 + ... + 126276904.

Almost surely, 2^329453040400 is an apocalyptic number.

329453040400 is the 573980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329453040400

329453040400 is an abundant number, since it is smaller than the sum of its proper divisors (540888432783).

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

329453040400 is an equidigital number, since it uses as much as digits as its factorization.

329453040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 329453040400 in words is "three hundred twenty-nine billion, four hundred fifty-three million, forty thousand, four hundred".