19419944544 has 1152 divisors, whose sum is σ = 79887015936. Its totient is φ = 4313088000.

The previous prime is 19419944477. The next prime is 19419944549. The reversal of 19419944544 is 44544991491.

19419944544 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 9 + 94 + 4 + 544 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19419944549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366414022 + ... + 366414074.

It is an arithmetic number, because the mean of its divisors is an integer number (69346368).

Almost surely, 2^19419944544 is an apocalyptic number.

19419944544 is a gapful number since it is divisible by the number (14) 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 19419944544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943507968).

19419944544 is an abundant number, since it is smaller than the sum of its proper divisors (60467071392).

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

19419944544 is a wasteful number, since it uses less digits than its factorization.

19419944544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 19419944544 in words is "nineteen billion, four hundred nineteen million, nine hundred forty-four thousand, five hundred forty-four".