432441041000 has 128 divisors (see below), whose sum is σ = 1054145664000. Its totient is φ = 165859488000.

The previous prime is 432441040979. The next prime is 432441041023. The reversal of 432441041000 is 140144234.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3315011 + ... + 3442989.

It is an arithmetic number, because the mean of its divisors is an integer number (8235513000).

Almost surely, 2^432441041000 is an apocalyptic number.

432441041000 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 432441041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527072832000).

432441041000 is an abundant number, since it is smaller than the sum of its proper divisors (621704623000).

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

432441041000 is a wasteful number, since it uses less digits than its factorization.

432441041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128140 (or 128126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 432441041000 its reverse (140144234), we get a palindrome (432581185234).

The spelling of 432441041000 in words is "four hundred thirty-two billion, four hundred forty-one million, forty-one thousand".