1331410608000 has 1152 divisors, whose sum is σ = 5421145523040. Its totient is φ = 322486272000.

The previous prime is 1331410607939. The next prime is 1331410608079. The reversal of 1331410608000 is 8060141331.

1331410608000 is a `hidden beast` number, since 1 + 33 + 14 + 10 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1154735424 + ... + 1154736576.

Almost surely, 2^{1331410608000} is an apocalyptic number.

1331410608000 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 1331410608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710572761520).

1331410608000 is an abundant number, since it is smaller than the sum of its proper divisors (4089734915040).

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

1331410608000 is an frugal number, since it uses more digits than its factorization.

1331410608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1331410608000 its reverse (8060141331), we get a palindrome (1339470749331).

The spelling of 1331410608000 in words is "one trillion, three hundred thirty-one billion, four hundred ten million, six hundred eight thousand".