19937440000 has 135 divisors (see below), whose sum is σ = 49871608633. Its totient is φ = 7952384000.

The previous prime is 19937439971. The next prime is 19937440001. The reversal of 19937440000 is 4473991.

The square root of 19937440000 is 141200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 16808603904 + 3128836096 = 129648^2 + 55936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19937440001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 56479824 + ... + 56480176.

Almost surely, 2^19937440000 is an apocalyptic number.

19937440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19937440000 is the 141200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19937440000

19937440000 is an abundant number, since it is smaller than the sum of its proper divisors (29934168633).

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

19937440000 is an frugal number, since it uses more digits than its factorization.

19937440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 19937440000 in words is "nineteen billion, nine hundred thirty-seven million, four hundred forty thousand".