1331723842560 has 352 divisors, whose sum is σ = 4842790634880. Its totient is φ = 346866057216.

The previous prime is 1331723842511. The next prime is 1331723842597. The reversal of 1331723842560 is 652483271331.

1331723842560 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 7 + 2 + 3 + 84 + 2 + 560 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5832304 + ... + 6056336.

It is an arithmetic number, because the mean of its divisors is an integer number (13757927940).

Almost surely, 2^{1331723842560} is an apocalyptic number.

1331723842560 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 1331723842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421395317440).

1331723842560 is an abundant number, since it is smaller than the sum of its proper divisors (3511066792320).

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

1331723842560 is a wasteful number, since it uses less digits than its factorization.

1331723842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224110 (or 224086 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1331723842560 in words is "one trillion, three hundred thirty-one billion, seven hundred twenty-three million, eight hundred forty-two thousand, five hundred sixty".