432001000000 has 98 divisors (see below), whose sum is σ = 1071553744874. Its totient is φ = 172800000000.

The previous prime is 432000999971. The next prime is 432001000019. The reversal of 432001000000 is 100234.

It can be written as a sum of positive squares in 7 ways, for example, as 368847299584 + 63153700416 = 607328^2 + 251304^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 784000 + ... + 1216000.

Almost surely, 2^432001000000 is an apocalyptic number.

432001000000 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 432001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535776872437).

432001000000 is an abundant number, since it is smaller than the sum of its proper divisors (639552744874).

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

432001000000 is an frugal number, since it uses more digits than its factorization.

432001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432043 (or 432008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 432001000000 its reverse (100234), we get a palindrome (432001100234).

The spelling of 432001000000 in words is "four hundred thirty-two billion, one million", and thus it is an aban number.