1328286277440 has 672 divisors, whose sum is σ = 4969933712640. Its totient is φ = 324691918848.

The previous prime is 1328286277429. The next prime is 1328286277441. The reversal of 1328286277440 is 447726828231.

1328286277440 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 2 + 8 + 627 + 7 + 4 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328286277441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164204916 + ... + 164213004.

Almost surely, 2^{1328286277440} is an apocalyptic number.

1328286277440 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 1328286277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484966856320).

1328286277440 is an abundant number, since it is smaller than the sum of its proper divisors (3641647435200).

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

1328286277440 is a wasteful number, since it uses less digits than its factorization.

1328286277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 1328286277440 in words is "one trillion, three hundred twenty-eight billion, two hundred eighty-six million, two hundred seventy-seven thousand, four hundred forty".