1336103620800 has 672 divisors, whose sum is σ = 5129625016320. Its totient is φ = 301518028800.

The previous prime is 1336103620799. The next prime is 1336103620801. The reversal of 1336103620800 is 80263016331.

It is an interprime number because it is at equal distance from previous prime (1336103620799) and next prime (1336103620801).

It is not an unprimeable number, because it can be changed into a prime (1336103620801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36735424 + ... + 36771776.

It is an arithmetic number, because the mean of its divisors is an integer number (7633370560).

Almost surely, 2^{1336103620800} is an apocalyptic number.

1336103620800 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 1336103620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564812508160).

1336103620800 is an abundant number, since it is smaller than the sum of its proper divisors (3793521395520).

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

1336103620800 is a wasteful number, since it uses less digits than its factorization.

1336103620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36441 (or 36426 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 1336103620800 in words is "one trillion, three hundred thirty-six billion, one hundred three million, six hundred twenty thousand, eight hundred".