6023338440 has 512 divisors, whose sum is σ = 22693478400. Its totient is φ = 1248952320.

The previous prime is 6023338429. The next prime is 6023338457. The reversal of 6023338440 is 448333206.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53303824 + ... + 53303936.

It is an arithmetic number, because the mean of its divisors is an integer number (44323200).

Almost surely, 2^6023338440 is an apocalyptic number.

6023338440 is a gapful number since it is divisible by the number (60) 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 6023338440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11346739200).

6023338440 is an abundant number, since it is smaller than the sum of its proper divisors (16670139960).

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

6023338440 is a wasteful number, since it uses less digits than its factorization.

6023338440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 6023338440 is about 77610.1696944415. The cubic root of 6023338440 is about 1819.4735868374.

The spelling of 6023338440 in words is "six billion, twenty-three million, three hundred thirty-eight thousand, four hundred forty".