432822080000 has 150 divisors (see below), whose sum is σ = 1081582578879. Its totient is φ = 172979968000.

The previous prime is 432822079993. The next prime is 432822080021. The reversal of 432822080000 is 80228234.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 100068464896 + 332753615104 = 316336^2 + 576848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=465200.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 372159419 + ... + 372160581.

Almost surely, 2^432822080000 is an apocalyptic number.

432822080000 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 432822080000

432822080000 is an abundant number, since it is smaller than the sum of its proper divisors (648760498879).

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

432822080000 is an frugal number, since it uses more digits than its factorization.

432822080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 432822080000 in words is "four hundred thirty-two billion, eight hundred twenty-two million, eighty thousand".