1333438080 has 256 divisors, whose sum is σ = 4692522240. Its totient is φ = 319979520.

The previous prime is 1333438049. The next prime is 1333438097. The reversal of 1333438080 is 808343331.

It is a super-2 number, since 2×1333438080² = 3556114226388172800, which contains 22 as substring.

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, 1022709 + ... + 1024011.

It is an arithmetic number, because the mean of its divisors is an integer number (18330165).

Almost surely, 2^1333438080 is an apocalyptic number.

1333438080 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 1333438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346261120).

1333438080 is an abundant number, since it is smaller than the sum of its proper divisors (3359084160).

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

1333438080 is a wasteful number, since it uses less digits than its factorization.

1333438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1333438080 is about 36516.2714416464. The cubic root of 1333438080 is about 1100.6712376996.

The spelling of 1333438080 in words is "one billion, three hundred thirty-three million, four hundred thirty-eight thousand, eighty".