1327559270400 has 1008 divisors, whose sum is σ = 5317479065808. Its totient is φ = 313786368000.

The previous prime is 1327559270357. The next prime is 1327559270407. The reversal of 1327559270400 is 40729557231.

It is a happy number.

1327559270400 is a `hidden beast` number, since 1 + 3 + 27 + 559 + 2 + 70 + 4 + 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 not an unprimeable number, because it can be changed into a prime (1327559270407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 831282402 + ... + 831283998.

It is an arithmetic number, because the mean of its divisors is an integer number (5275276851).

Almost surely, 2^{1327559270400} is an apocalyptic number.

1327559270400 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 1327559270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658739532904).

1327559270400 is an abundant number, since it is smaller than the sum of its proper divisors (3989919795408).

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

1327559270400 is a wasteful number, since it uses less digits than its factorization.

1327559270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1327559270400 in words is "one trillion, three hundred twenty-seven billion, five hundred fifty-nine million, two hundred seventy thousand, four hundred".