1330415993984 has 576 divisors, whose sum is σ = 3627356576760. Its totient is φ = 482549760000.

The previous prime is 1330415993957. The next prime is 1330415993987. The reversal of 1330415993984 is 4893995140331.

It can be written as a sum of positive squares in 4 ways, for example, as 1319833345600 + 10582648384 = 1148840^2 + 102872^2 .

It is not an unprimeable number, because it can be changed into a prime (1330415993987) 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, 1303051394 + ... + 1303052414.

Almost surely, 2^{1330415993984} is an apocalyptic number.

1330415993984 is a gapful number since it is divisible by the number (14) 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 1330415993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813678288380).

1330415993984 is an abundant number, since it is smaller than the sum of its proper divisors (2296940582776).

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

1330415993984 is a wasteful number, since it uses less digits than its factorization.

1330415993984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 59.

The spelling of 1330415993984 in words is "one trillion, three hundred thirty billion, four hundred fifteen million, nine hundred ninety-three thousand, nine hundred eighty-four".