434400440241232 has 160 divisors (see below), whose sum is σ = 898760038176000. Its totient is φ = 202819728384000.

The previous prime is 434400440241227. The next prime is 434400440241331. The reversal of 434400440241232 is 232142044004434.

It is a junction number, because it is equal to n+sod(n) for n = 434400440241191 and 434400440241200.

It is a congruent 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, 3464083269 + ... + 3464208667.

It is an arithmetic number, because the mean of its divisors is an integer number (5617250238600).

Almost surely, 2^{434400440241232} 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 434400440241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449380019088000).

434400440241232 is an abundant number, since it is smaller than the sum of its proper divisors (464359597934768).

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

434400440241232 is a wasteful number, since it uses less digits than its factorization.

434400440241232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126165 (or 126159 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 434400440241232 its reverse (232142044004434), we get a palindrome (666542484245666).

The spelling of 434400440241232 in words is "four hundred thirty-four trillion, four hundred billion, four hundred forty million, two hundred forty-one thousand, two hundred thirty-two".