1336447401408 has 672 divisors, whose sum is σ = 4934697369600. Its totient is φ = 346962051072.

The previous prime is 1336447401361. The next prime is 1336447401449. The reversal of 1336447401408 is 8041047446331.

1336447401408 is a `hidden beast` number, since 1 + 3 + 36 + 4 + 474 + 0 + 140 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 101369985 + ... + 101383167.

Almost surely, 2^{1336447401408} is an apocalyptic number.

1336447401408 is a gapful number since it is divisible by the number (18) 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 1336447401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467348684800).

1336447401408 is an abundant number, since it is smaller than the sum of its proper divisors (3598249968192).

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

1336447401408 is a wasteful number, since it uses less digits than its factorization.

1336447401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274 (or 13241 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1336447401408 in words is "one trillion, three hundred thirty-six billion, four hundred forty-seven million, four hundred one thousand, four hundred eight".