434301344120 has 128 divisors (see below), whose sum is σ = 1177671052800. Its totient is φ = 140812079616.

The previous prime is 434301344107. The next prime is 434301344123. The reversal of 434301344120 is 21443103434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434301344123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889959 + ... + 3036521.

It is an arithmetic number, because the mean of its divisors is an integer number (9200555100).

Almost surely, 2^434301344120 is an apocalyptic number.

434301344120 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 434301344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588835526400).

434301344120 is an abundant number, since it is smaller than the sum of its proper divisors (743369708680).

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

434301344120 is a wasteful number, since it uses less digits than its factorization.

434301344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147157 (or 147153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 434301344120 its reverse (21443103434), we get a palindrome (455744447554).

The spelling of 434301344120 in words is "four hundred thirty-four billion, three hundred one million, three hundred forty-four thousand, one hundred twenty".