1338048000 has 480 divisors, whose sum is σ = 5078728512. Its totient is φ = 337920000.

The previous prime is 1338047981. The next prime is 1338048013. The reversal of 1338048000 is 8408331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13247950 + ... + 13248050.

Almost surely, 2^1338048000 is an apocalyptic number.

1338048000 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 1338048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539364256).

1338048000 is an abundant number, since it is smaller than the sum of its proper divisors (3740680512).

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

1338048000 is a wasteful number, since it uses less digits than its factorization.

1338048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1338048000 is about 36579.3384303216. The cubic root of 1338048000 is about 1101.9381807498.

The spelling of 1338048000 in words is "one billion, three hundred thirty-eight million, forty-eight thousand".