432241530240 has 512 divisors, whose sum is σ = 1542486758400. Its totient is φ = 102256902144.

The previous prime is 432241530221. The next prime is 432241530257. The reversal of 432241530240 is 42035142234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 432241530198 and 432241530207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76649341 + ... + 76654979.

It is an arithmetic number, because the mean of its divisors is an integer number (3012669450).

Almost surely, 2^432241530240 is an apocalyptic number.

432241530240 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 432241530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771243379200).

432241530240 is an abundant number, since it is smaller than the sum of its proper divisors (1110245228160).

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

432241530240 is a wasteful number, since it uses less digits than its factorization.

432241530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 432241530240 its reverse (42035142234), we get a palindrome (474276672474).

The spelling of 432241530240 in words is "four hundred thirty-two billion, two hundred forty-one million, five hundred thirty thousand, two hundred forty".