19430242128 has 480 divisors, whose sum is σ = 64550154240. Its totient is φ = 5396751360.

The previous prime is 19430242127. The next prime is 19430242147. The reversal of 19430242128 is 82124203491.

19430242128 is a `hidden beast` number, since 1 + 9 + 430 + 2 + 4 + 212 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19430242092 and 19430242101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19430242127) 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, 123759426 + ... + 123759582.

It is an arithmetic number, because the mean of its divisors is an integer number (134479488).

Almost surely, 2^19430242128 is an apocalyptic number.

19430242128 is a gapful number since it is divisible by the number (18) 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 19430242128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32275077120).

19430242128 is an abundant number, since it is smaller than the sum of its proper divisors (45119912112).

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

19430242128 is a wasteful number, since it uses less digits than its factorization.

19430242128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 19430242128 in words is "nineteen billion, four hundred thirty million, two hundred forty-two thousand, one hundred twenty-eight".