432861502080 has 1024 divisors, whose sum is σ = 1723392000000. Its totient is φ = 90212548608.

The previous prime is 432861502079. The next prime is 432861502081. The reversal of 432861502080 is 80205168234.

It is an interprime number because it is at equal distance from previous prime (432861502079) and next prime (432861502081).

It is not an unprimeable number, because it can be changed into a prime (432861502081) 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, 867457671 + ... + 867458169.

It is an arithmetic number, because the mean of its divisors is an integer number (1683000000).

Almost surely, 2^432861502080 is an apocalyptic number.

432861502080 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 432861502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861696000000).

432861502080 is an abundant number, since it is smaller than the sum of its proper divisors (1290530497920).

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

432861502080 is a wasteful number, since it uses less digits than its factorization.

432861502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 432861502080 in words is "four hundred thirty-two billion, eight hundred sixty-one million, five hundred two thousand, eighty".