19324841120 has 288 divisors, whose sum is σ = 53293636368. Its totient is φ = 6559727616.

The previous prime is 19324841117. The next prime is 19324841147. The reversal of 19324841120 is 2114842391.

It can be written as a sum of positive squares in 8 ways, for example, as 5456481424 + 13868359696 = 73868^2 + 117764^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123088082 + ... + 123088238.

Almost surely, 2^19324841120 is an apocalyptic number.

19324841120 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 19324841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26646818184).

19324841120 is an abundant number, since it is smaller than the sum of its proper divisors (33968795248).

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

19324841120 is a wasteful number, since it uses less digits than its factorization.

19324841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 19324841120 in words is "nineteen billion, three hundred twenty-four million, eight hundred forty-one thousand, one hundred twenty".