1333009440 has 384 divisors, whose sum is σ = 5647864320. Its totient is φ = 286654464.

The previous prime is 1333009369. The next prime is 1333009481. The reversal of 1333009440 is 449003331.

It is a super-2 number, since 2×1333009440² = 3553828334258227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512784 + ... + 515376.

It is an arithmetic number, because the mean of its divisors is an integer number (14707980).

Almost surely, 2^1333009440 is an apocalyptic number.

1333009440 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 1333009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823932160).

1333009440 is an abundant number, since it is smaller than the sum of its proper divisors (4314854880).

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

1333009440 is a wasteful number, since it uses less digits than its factorization.

1333009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1333009440 is about 36510.4018055129. The cubic root of 1333009440 is about 1100.5532863954.

The spelling of 1333009440 in words is "one billion, three hundred thirty-three million, nine thousand, four hundred forty".