32430200452000 has 192 divisors, whose sum is σ = 85860408055968. Its totient is φ = 11967237120000.

The previous prime is 32430200451977. The next prime is 32430200452009. The reversal of 32430200452000 is 25400203423.

It can be written as a sum of positive squares in 16 ways, for example, as 1811640624784 + 30618559827216 = 1345972^2 + 5533404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (32430200452009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89310810 + ... + 89673190.

Almost surely, 2^{32430200452000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32430200452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42930204027984).

32430200452000 is an abundant number, since it is smaller than the sum of its proper divisors (53430207603968).

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

32430200452000 is a wasteful number, since it uses less digits than its factorization.

32430200452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364140 (or 364122 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 32430200452000 its reverse (25400203423), we get a palindrome (32455600655423).

The spelling of 32430200452000 in words is "thirty-two trillion, four hundred thirty billion, two hundred million, four hundred fifty-two thousand".