19144013988440 has 576 divisors, whose sum is σ = 50350939329600. Its totient is φ = 6544632821760.

The previous prime is 19144013988433. The next prime is 19144013988469. The reversal of 19144013988440 is 4488931044191.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60391211162 + ... + 60391211478.

It is an arithmetic number, because the mean of its divisors is an integer number (87414825225).

Almost surely, 2^{19144013988440} is an apocalyptic number.

19144013988440 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 19144013988440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25175469664800).

19144013988440 is an abundant number, since it is smaller than the sum of its proper divisors (31206925341160).

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

19144013988440 is a wasteful number, since it uses less digits than its factorization.

19144013988440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 19144013988440 in words is "nineteen trillion, one hundred forty-four billion, thirteen million, nine hundred eighty-eight thousand, four hundred forty".