1338240000 has 440 divisors, whose sum is σ = 4834489968. Its totient is φ = 327680000.

The previous prime is 1338239999. The next prime is 1338240019. The reversal of 1338240000 is 428331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32639980 + ... + 32640020.

Almost surely, 2^1338240000 is an apocalyptic number.

1338240000 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 1338240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417244984).

1338240000 is an abundant number, since it is smaller than the sum of its proper divisors (3496249968).

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

1338240000 is an equidigital number, since it uses as much as digits as its factorization.

1338240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1338240000 is about 36581.9627685558. The cubic root of 1338240000 is about 1101.9908848909.

Adding to 1338240000 its reverse (428331), we get a palindrome (1338668331).

The spelling of 1338240000 in words is "one billion, three hundred thirty-eight million, two hundred forty thousand".