432561498336 has 288 divisors, whose sum is σ = 1355943214080. Its totient is φ = 130795695360.

The previous prime is 432561498301. The next prime is 432561498337. The reversal of 432561498336 is 633894165234.

432561498336 is a `hidden beast` number, since 4 + 3 + 2 + 561 + 49 + 8 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432561498337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237279121 + ... + 237280943.

It is an arithmetic number, because the mean of its divisors is an integer number (4708136160).

Almost surely, 2^432561498336 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 432561498336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677971607040).

432561498336 is an abundant number, since it is smaller than the sum of its proper divisors (923381715744).

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

432561498336 is a wasteful number, since it uses less digits than its factorization.

432561498336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2458 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 432561498336 in words is "four hundred thirty-two billion, five hundred sixty-one million, four hundred ninety-eight thousand, three hundred thirty-six".