432198741520 has 640 divisors, whose sum is σ = 1338664320000. Its totient is φ = 128719503360.

The previous prime is 432198741461. The next prime is 432198741523. The reversal of 432198741520 is 25147891234.

It is not an unprimeable number, because it can be changed into a prime (432198741523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 424139571 + ... + 424140589.

It is an arithmetic number, because the mean of its divisors is an integer number (2091663000).

Almost surely, 2^432198741520 is an apocalyptic number.

432198741520 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 432198741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160000).

432198741520 is an abundant number, since it is smaller than the sum of its proper divisors (906465578480).

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

432198741520 is a wasteful number, since it uses less digits than its factorization.

432198741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 432198741520 in words is "four hundred thirty-two billion, one hundred ninety-eight million, seven hundred forty-one thousand, five hundred twenty".