19128440760 has 384 divisors, whose sum is σ = 71371756800. Its totient is φ = 4054302720.

The previous prime is 19128440729. The next prime is 19128440767. The reversal of 19128440760 is 6704482191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19128440767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4236264 + ... + 4240776.

It is an arithmetic number, because the mean of its divisors is an integer number (185863950).

Almost surely, 2^19128440760 is an apocalyptic number.

19128440760 is a gapful number since it is divisible by the number (10) 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 19128440760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35685878400).

19128440760 is an abundant number, since it is smaller than the sum of its proper divisors (52243316040).

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

19128440760 is a wasteful number, since it uses less digits than its factorization.

19128440760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 19128440760 in words is "nineteen billion, one hundred twenty-eight million, four hundred forty thousand, seven hundred sixty".