1329715782144 has 560 divisors, whose sum is σ = 4098292513920. Its totient is φ = 430608752640.

The previous prime is 1329715782079. The next prime is 1329715782193. The reversal of 1329715782144 is 4412875179231.

It is a happy number.

1329715782144 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 7 + 1 + 578 + 21 + 44 = 666.

It is a super-2 number, since 2×1329715782144² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4017268059 + ... + 4017268389.

Almost surely, 2^{1329715782144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329715782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049146256960).

1329715782144 is an abundant number, since it is smaller than the sum of its proper divisors (2768576731776).

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

1329715782144 is an frugal number, since it uses more digits than its factorization.

1329715782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 612 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 1329715782144 in words is "one trillion, three hundred twenty-nine billion, seven hundred fifteen million, seven hundred eighty-two thousand, one hundred forty-four".