1320480032976 has 640 divisors, whose sum is σ = 4449315225600. Its totient is φ = 371322040320.

The previous prime is 1320480032953. The next prime is 1320480033001. The reversal of 1320480032976 is 6792300840231.

1320480032976 is a `hidden beast` number, since 132 + 0 + 480 + 0 + 32 + 9 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2040927085 + ... + 2040927731.

It is an arithmetic number, because the mean of its divisors is an integer number (6952055040).

Almost surely, 2^{1320480032976} is an apocalyptic number.

1320480032976 is a gapful number since it is divisible by the number (16) 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 1320480032976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224657612800).

1320480032976 is an abundant number, since it is smaller than the sum of its proper divisors (3128835192624).

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

1320480032976 is a wasteful number, since it uses less digits than its factorization.

1320480032976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1320480032976 in words is "one trillion, three hundred twenty billion, four hundred eighty million, thirty-two thousand, nine hundred seventy-six".