1339128800 has 72 divisors (see below), whose sum is σ = 3281493096. Its totient is φ = 533629440.

The previous prime is 1339128733. The next prime is 1339128803. The reversal of 1339128800 is 88219331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339128803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218579 + ... + 224621.

It is an arithmetic number, because the mean of its divisors is an integer number (45576293).

Almost surely, 2^1339128800 is an apocalyptic number.

1339128800 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 1339128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640746548).

1339128800 is an abundant number, since it is smaller than the sum of its proper divisors (1942364296).

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

1339128800 is a wasteful number, since it uses less digits than its factorization.

1339128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1339128800 is about 36594.1088154911. The cubic root of 1339128800 is about 1102.2347954856.

The spelling of 1339128800 in words is "one billion, three hundred thirty-nine million, one hundred twenty-eight thousand, eight hundred".