19139400000 has 1008 divisors, whose sum is σ = 82544716800. Its totient is φ = 4233600000.

The previous prime is 19139399987. The next prime is 19139400041. The reversal of 19139400000 is 493191.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 617399985 + ... + 617400015.

It is an arithmetic number, because the mean of its divisors is an integer number (81889600).

Almost surely, 2^19139400000 is an apocalyptic number.

19139400000 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 19139400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41272358400).

19139400000 is an abundant number, since it is smaller than the sum of its proper divisors (63405316800).

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

19139400000 is an frugal number, since it uses more digits than its factorization.

19139400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 19139400000 its reverse (493191), we get a palindrome (19139893191).

The spelling of 19139400000 in words is "nineteen billion, one hundred thirty-nine million, four hundred thousand".