432414101000 has 128 divisors (see below), whose sum is σ = 1165228796160. Its totient is φ = 147124224000.

The previous prime is 432414100991. The next prime is 432414101011. The reversal of 432414101000 is 101414234.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 681224 + ... + 1152776.

It is an arithmetic number, because the mean of its divisors is an integer number (9103349970).

Almost surely, 2^432414101000 is an apocalyptic number.

432414101000 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 432414101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582614398080).

432414101000 is an abundant number, since it is smaller than the sum of its proper divisors (732814695160).

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

432414101000 is a wasteful number, since it uses less digits than its factorization.

432414101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471712 (or 471698 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 432414101000 its reverse (101414234), we get a palindrome (432515515234).

The spelling of 432414101000 in words is "four hundred thirty-two billion, four hundred fourteen million, one hundred one thousand".