1727481942144 has 512 divisors, whose sum is σ = 6437856153600. Its totient is φ = 444333441024.

The previous prime is 1727481942113. The next prime is 1727481942169. The reversal of 1727481942144 is 4412491847271.

1727481942144 is a `hidden beast` number, since 1 + 72 + 7 + 481 + 94 + 2 + 1 + 4 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9367759 + ... + 9550385.

It is an arithmetic number, because the mean of its divisors is an integer number (12573937800).

Almost surely, 2^{1727481942144} is an apocalyptic number.

1727481942144 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 1727481942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218928076800).

1727481942144 is an abundant number, since it is smaller than the sum of its proper divisors (4710374211456).

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

1727481942144 is a wasteful number, since it uses less digits than its factorization.

1727481942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182697 (or 182679 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 1727481942144 in words is "one trillion, seven hundred twenty-seven billion, four hundred eighty-one million, nine hundred forty-two thousand, one hundred forty-four".