434205444120 has 128 divisors (see below), whose sum is σ = 1491191424000. Its totient is φ = 99081156096.

The previous prime is 434205444089. The next prime is 434205444137. The reversal of 434205444120 is 21444502434.

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, 71682 + ... + 934638.

It is an arithmetic number, because the mean of its divisors is an integer number (11649933000).

Almost surely, 2^434205444120 is an apocalyptic number.

434205444120 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 434205444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745595712000).

434205444120 is an abundant number, since it is smaller than the sum of its proper divisors (1056985979880).

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

434205444120 is a wasteful number, since it uses less digits than its factorization.

434205444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863577 (or 863573 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 434205444120 its reverse (21444502434), we get a palindrome (455649946554).

The spelling of 434205444120 in words is "four hundred thirty-four billion, two hundred five million, four hundred forty-four thousand, one hundred twenty".