19419840720 has 1440 divisors, whose sum is σ = 87988118400. Its totient is φ = 3950456832.

The previous prime is 19419840647. The next prime is 19419840733. The reversal of 19419840720 is 2704891491.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 524860542 + ... + 524860578.

It is an arithmetic number, because the mean of its divisors is an integer number (61102860).

Almost surely, 2^19419840720 is an apocalyptic number.

19419840720 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 19419840720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43994059200).

19419840720 is an abundant number, since it is smaller than the sum of its proper divisors (68568277680).

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

19419840720 is a wasteful number, since it uses less digits than its factorization.

19419840720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19419840720 in words is "nineteen billion, four hundred nineteen million, eight hundred forty thousand, seven hundred twenty".