1329861162240 has 972 divisors, whose sum is σ = 5179231344924. Its totient is φ = 327001079808.

The previous prime is 1329861162197. The next prime is 1329861162257. The reversal of 1329861162240 is 422611689231.

1329861162240 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 8 + 6 + 11 + 622 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 602647900416 + 727213261824 = 776304^2 + 852768^2 .

It is a tau number, because it is divible by the number of its divisors (972).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1419275052 + ... + 1419275988.

Almost surely, 2^{1329861162240} is an apocalyptic number.

1329861162240 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 1329861162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589615672462).

1329861162240 is an abundant number, since it is smaller than the sum of its proper divisors (3849370182684).

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

1329861162240 is an frugal number, since it uses more digits than its factorization.

1329861162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1329861162240 in words is "one trillion, three hundred twenty-nine billion, eight hundred sixty-one million, one hundred sixty-two thousand, two hundred forty".