434031042240 has 504 divisors, whose sum is σ = 1567019917008. Its totient is φ = 110255861760.

The previous prime is 434031042229. The next prime is 434031042293. The reversal of 434031042240 is 42240130434.

It is a happy number.

434031042240 is a `hidden beast` number, since 4 + 3 + 403 + 10 + 4 + 2 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 528661030 + ... + 528661850.

It is an arithmetic number, because the mean of its divisors is an integer number (3109166502).

Almost surely, 2^434031042240 is an apocalyptic number.

434031042240 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 434031042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783509958504).

434031042240 is an abundant number, since it is smaller than the sum of its proper divisors (1132988874768).

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

434031042240 is a wasteful number, since it uses less digits than its factorization.

434031042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434031042240 its reverse (42240130434), we get a palindrome (476271172674).

The spelling of 434031042240 in words is "four hundred thirty-four billion, thirty-one million, forty-two thousand, two hundred forty".