1338516480 has 352 divisors, whose sum is σ = 4999265280. Its totient is φ = 299335680.

The previous prime is 1338516469. The next prime is 1338516493. The reversal of 1338516480 is 846158331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6343575 + ... + 6343785.

Almost surely, 2^1338516480 is an apocalyptic number.

1338516480 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 1338516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499632640).

1338516480 is an abundant number, since it is smaller than the sum of its proper divisors (3660748800).

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

1338516480 is a wasteful number, since it uses less digits than its factorization.

1338516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1338516480 is about 36585.7414849009. The cubic root of 1338516480 is about 1102.0667699988.

The spelling of 1338516480 in words is "one billion, three hundred thirty-eight million, five hundred sixteen thousand, four hundred eighty".