4189392430080 has 1056 divisors, whose sum is σ = 16519364674560. Its totient is φ = 896585564160.

The previous prime is 4189392430049. The next prime is 4189392430081. The reversal of 4189392430080 is 800342939814.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (4189392430081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656744331 + ... + 656750709.

It is an arithmetic number, because the mean of its divisors is an integer number (15643337760).

Almost surely, 2^{4189392430080} is an apocalyptic number.

4189392430080 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 4189392430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259682337280).

4189392430080 is an abundant number, since it is smaller than the sum of its proper divisors (12329972244480).

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

4189392430080 is a wasteful number, since it uses less digits than its factorization.

4189392430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 4189392430080 in words is "four trillion, one hundred eighty-nine billion, three hundred ninety-two million, four hundred thirty thousand, eighty".