19144039680 has 216 divisors, whose sum is σ = 66353206920. Its totient is φ = 5096079360.

The previous prime is 19144039679. The next prime is 19144039699. The reversal of 19144039680 is 8693044191.

It can be written as a sum of positive squares in 4 ways, for example, as 2022840576 + 17121199104 = 44976^2 + 130848^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8857800 + ... + 8859960.

Almost surely, 2^19144039680 is an apocalyptic number.

19144039680 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 19144039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33176603460).

19144039680 is an abundant number, since it is smaller than the sum of its proper divisors (47209167240).

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

19144039680 is a wasteful number, since it uses less digits than its factorization.

19144039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19144039680 in words is "nineteen billion, one hundred forty-four million, thirty-nine thousand, six hundred eighty".