434188997880 has 256 divisors, whose sum is σ = 1505822400000. Its totient is φ = 99047946240.

The previous prime is 434188997867. The next prime is 434188997927. The reversal of 434188997880 is 88799881434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3678826 + ... + 3795014.

It is an arithmetic number, because the mean of its divisors is an integer number (5882118750).

Almost surely, 2^434188997880 is an apocalyptic number.

434188997880 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 434188997880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752911200000).

434188997880 is an abundant number, since it is smaller than the sum of its proper divisors (1071633402120).

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

434188997880 is a wasteful number, since it uses less digits than its factorization.

434188997880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116382 (or 116378 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 434188997880 in words is "four hundred thirty-four billion, one hundred eighty-eight million, nine hundred ninety-seven thousand, eight hundred eighty".