1328414081280 has 576 divisors, whose sum is σ = 5058872921088. Its totient is φ = 292822548480.

The previous prime is 1328414081251. The next prime is 1328414081341. The reversal of 1328414081280 is 821804148231.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36772987 + ... + 36809093.

It is an arithmetic number, because the mean of its divisors is an integer number (8782765488).

Almost surely, 2^{1328414081280} is an apocalyptic number.

1328414081280 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 1328414081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529436460544).

1328414081280 is an abundant number, since it is smaller than the sum of its proper divisors (3730458839808).

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

1328414081280 is a wasteful number, since it uses less digits than its factorization.

1328414081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36222 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 1328414081280 in words is "one trillion, three hundred twenty-eight billion, four hundred fourteen million, eighty-one thousand, two hundred eighty".