434026983120 has 160 divisors (see below), whose sum is σ = 1355328312960. Its totient is φ = 114896517120.

The previous prime is 434026983109. The next prime is 434026983121. The reversal of 434026983120 is 21389620434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434026983121) 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, 20093286 + ... + 20114874.

It is an arithmetic number, because the mean of its divisors is an integer number (8470801956).

Almost surely, 2^434026983120 is an apocalyptic number.

434026983120 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 434026983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677664156480).

434026983120 is an abundant number, since it is smaller than the sum of its proper divisors (921301329840).

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

434026983120 is a wasteful number, since it uses less digits than its factorization.

434026983120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22213 (or 22207 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 434026983120 in words is "four hundred thirty-four billion, twenty-six million, nine hundred eighty-three thousand, one hundred twenty".