432222000000 has 896 divisors, whose sum is σ = 1686803408640. Its totient is φ = 96000000000.

The previous prime is 432221999999. The next prime is 432222000011. The reversal of 432222000000 is 222234.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1721999875 + ... + 1722000125.

It is an arithmetic number, because the mean of its divisors is an integer number (1882593090).

Almost surely, 2^432222000000 is an apocalyptic number.

432222000000 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 432222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843401704320).

432222000000 is an abundant number, since it is smaller than the sum of its proper divisors (1254581408640).

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

432222000000 is an frugal number, since it uses more digits than its factorization.

432222000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 432222000000 its reverse (222234), we get a palindrome (432222222234).

The spelling of 432222000000 in words is "four hundred thirty-two billion, two hundred twenty-two million", and thus it is an aban number.