9338545440 has 720 divisors, whose sum is σ = 38704688568. Its totient is φ = 2048385024.

The previous prime is 9338545423. The next prime is 9338545457. The reversal of 9338545440 is 445458339.

9338545440 is a `hidden beast` number, since 93 + 3 + 85 + 45 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (9338545423) and next prime (9338545457).

It can be written as a sum of positive squares in 4 ways, for example, as 8962030224 + 376515216 = 94668^2 + 19404^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127925244 + ... + 127925316.

Almost surely, 2^9338545440 is an apocalyptic number.

9338545440 is a gapful number since it is divisible by the number (90) 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 9338545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19352344284).

9338545440 is an abundant number, since it is smaller than the sum of its proper divisors (29366143128).

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

9338545440 is a wasteful number, since it uses less digits than its factorization.

9338545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 9338545440 is about 96636.1497577382. The cubic root of 9338545440 is about 2105.8450493811.

The spelling of 9338545440 in words is "nine billion, three hundred thirty-eight million, five hundred forty-five thousand, four hundred forty".