1327457894400 has 1440 divisors, whose sum is σ = 5533791648000. Its totient is φ = 311427072000.

The previous prime is 1327457894387. The next prime is 1327457894423. The reversal of 1327457894400 is 44987547231.

1327457894400 is a `hidden beast` number, since 1 + 3 + 2 + 74 + 57 + 89 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1327457894400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42821222385 + ... + 42821222415.

Almost surely, 2^{1327457894400} is an apocalyptic number.

1327457894400 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 1327457894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766895824000).

1327457894400 is an abundant number, since it is smaller than the sum of its proper divisors (4206333753600).

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

1327457894400 is an frugal number, since it uses more digits than its factorization.

1327457894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1327457894400 in words is "one trillion, three hundred twenty-seven billion, four hundred fifty-seven million, eight hundred ninety-four thousand, four hundred".