1349328076800 has 1536 divisors, whose sum is σ = 5336079897600. Its totient is φ = 297271296000.

The previous prime is 1349328076727. The next prime is 1349328076849. The reversal of 1349328076800 is 86708239431.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19004620765 + ... + 19004620835.

It is an arithmetic number, because the mean of its divisors is an integer number (3474010350).

Almost surely, 2^{1349328076800} is an apocalyptic number.

1349328076800 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 1349328076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668039948800).

1349328076800 is an abundant number, since it is smaller than the sum of its proper divisors (3986751820800).

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

1349328076800 is a wasteful number, since it uses less digits than its factorization.

1349328076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1349328076800 in words is "one trillion, three hundred forty-nine billion, three hundred twenty-eight million, seventy-six thousand, eight hundred".