1341661440000 has 1920 divisors, whose sum is σ = 5600167372800. Its totient is φ = 278691840000.

The previous prime is 1341661439939. The next prime is 1341661440073. The reversal of 1341661440000 is 441661431.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1341661440000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18896639965 + ... + 18896640035.

It is an arithmetic number, because the mean of its divisors is an integer number (2916753840).

Almost surely, 2^{1341661440000} is an apocalyptic number.

1341661440000 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 1341661440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800083686400).

1341661440000 is an abundant number, since it is smaller than the sum of its proper divisors (4258505932800).

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

1341661440000 is an equidigital number, since it uses as much as digits as its factorization.

1341661440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 1341661440000 in words is "one trillion, three hundred forty-one billion, six hundred sixty-one million, four hundred forty thousand".