432673228800 has 1620 divisors, whose sum is σ = 1796653473615. Its totient is φ = 102877102080.

The previous prime is 432673228717. The next prime is 432673228807. The reversal of 432673228800 is 8822376234.

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 5 ways, for example, as 281731654656 + 150941574144 = 530784^2 + 388512^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=465120.

It is a super-2 number, since 2×432673228800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (432673228807) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22772275191 + ... + 22772275209.

Almost surely, 2^432673228800 is an apocalyptic number.

432673228800 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 432673228800

432673228800 is an abundant number, since it is smaller than the sum of its proper divisors (1363980244815).

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

432673228800 is a wasteful number, since it uses less digits than its factorization.

432673228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 432673228800 in words is "four hundred thirty-two billion, six hundred seventy-three million, two hundred twenty-eight thousand, eight hundred".