1338129000480 has 96 divisors (see below), whose sum is σ = 4398371881344. Its totient is φ = 341319858176.

The previous prime is 1338129000401. The next prime is 1338129000491. The reversal of 1338129000480 is 840009218331.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60592629 + ... + 60614708.

It is an arithmetic number, because the mean of its divisors is an integer number (45816373764).

Almost surely, 2^{1338129000480} is an apocalyptic number.

1338129000480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338129000480 is an abundant number, since it is smaller than the sum of its proper divisors (3060242880864).

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

1338129000480 is a wasteful number, since it uses less digits than its factorization.

1338129000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121207378 (or 121207370 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1338129000480 in words is "one trillion, three hundred thirty-eight billion, one hundred twenty-nine million, four hundred eighty", and thus it is an aban number.