1336815806400 has 252 divisors, whose sum is σ = 4752745045672. Its totient is φ = 356380231680.

The previous prime is 1336815806393. The next prime is 1336815806413. The reversal of 1336815806400 is 46085186331.

1336815806400 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 8 + 1 + 580 + 64 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57977274 + ... + 58000326.

Almost surely, 2^{1336815806400} is an apocalyptic number.

1336815806400 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 1336815806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376372522836).

1336815806400 is an abundant number, since it is smaller than the sum of its proper divisors (3415929239272).

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

1336815806400 is a wasteful number, since it uses less digits than its factorization.

1336815806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27108 (or 27090 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1336815806400 in words is "one trillion, three hundred thirty-six billion, eight hundred fifteen million, eight hundred six thousand, four hundred".