1341468591840 has 672 divisors, whose sum is σ = 5187693833280. Its totient is φ = 325657387008.

The previous prime is 1341468591721. The next prime is 1341468591877. The reversal of 1341468591840 is 481958641431.

1341468591840 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 6 + 8 + 591 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 110685301 + ... + 110697419.

It is an arithmetic number, because the mean of its divisors is an integer number (7719782490).

Almost surely, 2^{1341468591840} is an apocalyptic number.

1341468591840 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 1341468591840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593846916640).

1341468591840 is an abundant number, since it is smaller than the sum of its proper divisors (3846225241440).

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

1341468591840 is a wasteful number, since it uses less digits than its factorization.

1341468591840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1341468591840 in words is "one trillion, three hundred forty-one billion, four hundred sixty-eight million, five hundred ninety-one thousand, eight hundred forty".