1327392278400 has 192 divisors, whose sum is σ = 4375081695600. Its totient is φ = 353729740800.

The previous prime is 1327392278353. The next prime is 1327392278413. The reversal of 1327392278400 is 48722937231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1327392278400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14247970 + ... + 14340830.

Almost surely, 2^{1327392278400} is an apocalyptic number.

1327392278400 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 1327392278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187540847800).

1327392278400 is an abundant number, since it is smaller than the sum of its proper divisors (3047689417200).

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

1327392278400 is a wasteful number, since it uses less digits than its factorization.

1327392278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94377 (or 94360 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 1327392278400 in words is "one trillion, three hundred twenty-seven billion, three hundred ninety-two million, two hundred seventy-eight thousand, four hundred".