434241202432 has 72 divisors (see below), whose sum is σ = 912992744160. Its totient is φ = 205561036800.

The previous prime is 434241202429. The next prime is 434241202433. The reversal of 434241202432 is 234202142434.

It is a junction number, because it is equal to n+sod(n) for n = 434241202394 and 434241202403.

It is not an unprimeable number, because it can be changed into a prime (434241202433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7759383 + ... + 7815145.

It is an arithmetic number, because the mean of its divisors is an integer number (12680454780).

Almost surely, 2^434241202432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434241202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456496372080).

434241202432 is an abundant number, since it is smaller than the sum of its proper divisors (478751541728).

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

434241202432 is a wasteful number, since it uses less digits than its factorization.

434241202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57399 (or 57385 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 434241202432 its reverse (234202142434), we get a palindrome (668443344866).

The spelling of 434241202432 in words is "four hundred thirty-four billion, two hundred forty-one million, two hundred two thousand, four hundred thirty-two".