1352380423680 has 1280 divisors, whose sum is σ = 5738662702080. Its totient is φ = 297536716800.

The previous prime is 1352380423643. The next prime is 1352380423733. The reversal of 1352380423680 is 863240832531.

1352380423680 is a `hidden beast` number, since 1 + 3 + 523 + 8 + 0 + 42 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602932639 + ... + 602934881.

It is an arithmetic number, because the mean of its divisors is an integer number (4483330236).

Almost surely, 2^{1352380423680} is an apocalyptic number.

1352380423680 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 1352380423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869331351040).

1352380423680 is an abundant number, since it is smaller than the sum of its proper divisors (4386282278400).

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

1352380423680 is a wasteful number, since it uses less digits than its factorization.

1352380423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1352380423680 in words is "one trillion, three hundred fifty-two billion, three hundred eighty million, four hundred twenty-three thousand, six hundred eighty".