1328057533440 has 1056 divisors, whose sum is σ = 5233877026560. Its totient is φ = 308418969600.

The previous prime is 1328057533427. The next prime is 1328057533471. The reversal of 1328057533440 is 443357508231.

1328057533440 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 0 + 575 + 3 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2454819570 + ... + 2454820110.

Almost surely, 2^{1328057533440} is an apocalyptic number.

1328057533440 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 1328057533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616938513280).

1328057533440 is an abundant number, since it is smaller than the sum of its proper divisors (3905819493120).

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

1328057533440 is a wasteful number, since it uses less digits than its factorization.

1328057533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1328057533440 in words is "one trillion, three hundred twenty-eight billion, fifty-seven million, five hundred thirty-three thousand, four hundred forty".