432602462143020 has 192 divisors, whose sum is σ = 1305289259366400. Its totient is φ = 106419311311872.

The previous prime is 432602462142911. The next prime is 432602462143081. The reversal of 432602462143020 is 20341264206234.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 432602462143020.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12857071837 + ... + 12857105483.

It is an arithmetic number, because the mean of its divisors is an integer number (6798381559200).

Almost surely, 2^{432602462143020} 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 432602462143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652644629683200).

432602462143020 is an abundant number, since it is smaller than the sum of its proper divisors (872686797223380).

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

432602462143020 is a wasteful number, since it uses less digits than its factorization.

432602462143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43624 (or 43622 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 432602462143020 in words is "four hundred thirty-two trillion, six hundred two billion, four hundred sixty-two million, one hundred forty-three thousand, twenty".