1327375904400 has 360 divisors, whose sum is σ = 5669371373120. Its totient is φ = 280061660160.

The previous prime is 1327375904359. The next prime is 1327375904411. The reversal of 1327375904400 is 44095737231.

1327375904400 is a `hidden beast` number, since 1 + 3 + 27 + 37 + 590 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1698310 + ... + 2353509.

Almost surely, 2^{1327375904400} is an apocalyptic number.

1327375904400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327375904400 is an abundant number, since it is smaller than the sum of its proper divisors (4341995468720).

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

1327375904400 is a wasteful number, since it uses less digits than its factorization.

1327375904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051863 (or 4051849 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1327375904400 in words is "one trillion, three hundred twenty-seven billion, three hundred seventy-five million, nine hundred four thousand, four hundred".