19838730240 has 612 divisors, whose sum is σ = 81215785872. Its totient is φ = 4388290560.

The previous prime is 19838730239. The next prime is 19838730251. The reversal of 19838730240 is 4203783891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 639959025 + ... + 639959055.

Almost surely, 2^19838730240 is an apocalyptic number.

19838730240 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 19838730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40607892936).

19838730240 is an abundant number, since it is smaller than the sum of its proper divisors (61377055632).

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

19838730240 is an frugal number, since it uses more digits than its factorization.

19838730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19838730240 in words is "nineteen billion, eight hundred thirty-eight million, seven hundred thirty thousand, two hundred forty".