434132930880 has 448 divisors, whose sum is σ = 1680051260160. Its totient is φ = 104658739200.

The previous prime is 434132930831. The next prime is 434132930887. The reversal of 434132930880 is 88039231434.

434132930880 is a `hidden beast` number, since 434 + 132 + 9 + 3 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434132930887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17189622 + ... + 17214858.

It is an arithmetic number, because the mean of its divisors is an integer number (3750114420).

Almost surely, 2^434132930880 is an apocalyptic number.

434132930880 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 434132930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840025630080).

434132930880 is an abundant number, since it is smaller than the sum of its proper divisors (1245918329280).

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

434132930880 is a wasteful number, since it uses less digits than its factorization.

434132930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25455 (or 25439 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 434132930880 in words is "four hundred thirty-four billion, one hundred thirty-two million, nine hundred thirty thousand, eight hundred eighty".