1719942142464 has 1280 divisors, whose sum is σ = 6645774643200. Its totient is φ = 426494066688.

The previous prime is 1719942142433. The next prime is 1719942142487. The reversal of 1719942142464 is 4642412499171.

1719942142464 is a `hidden beast` number, since 1 + 7 + 199 + 4 + 21 + 424 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1719942142464.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5425684834 + ... + 5425685150.

It is an arithmetic number, because the mean of its divisors is an integer number (5192011440).

Almost surely, 2^{1719942142464} is an apocalyptic number.

1719942142464 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 1719942142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322887321600).

1719942142464 is an abundant number, since it is smaller than the sum of its proper divisors (4925832500736).

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

1719942142464 is a wasteful number, since it uses less digits than its factorization.

1719942142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 588 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1719942142464 in words is "one trillion, seven hundred nineteen billion, nine hundred forty-two million, one hundred forty-two thousand, four hundred sixty-four".