452180362880 has 128 divisors (see below), whose sum is σ = 1117834058880. Its totient is φ = 174809935872.

The previous prime is 452180362867. The next prime is 452180362883. The reversal of 452180362880 is 88263081254.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (452180362883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2173157 + ... + 2372123.

It is an arithmetic number, because the mean of its divisors is an integer number (8733078585).

Almost surely, 2^452180362880 is an apocalyptic number.

452180362880 is a gapful number since it is divisible by the number (40) 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 452180362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558917029440).

452180362880 is an abundant number, since it is smaller than the sum of its proper divisors (665653696000).

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

452180362880 is a wasteful number, since it uses less digits than its factorization.

452180362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199106 (or 199094 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 452180362880 in words is "four hundred fifty-two billion, one hundred eighty million, three hundred sixty-two thousand, eight hundred eighty".