9003838314240 has 1152 divisors, whose sum is σ = 40381721856000. Its totient is φ = 1845258485760.

The previous prime is 9003838314239. The next prime is 9003838314253. The reversal of 9003838314240 is 424138383009.

9003838314240 is a `hidden beast` number, since 90 + 0 + 3 + 8 + 3 + 8 + 314 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194238586 + ... + 194284934.

It is an arithmetic number, because the mean of its divisors is an integer number (35053578000).

Almost surely, 2^{9003838314240} is an apocalyptic number.

9003838314240 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 9003838314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20190860928000).

9003838314240 is an abundant number, since it is smaller than the sum of its proper divisors (31377883541760).

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

9003838314240 is a wasteful number, since it uses less digits than its factorization.

9003838314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46470 (or 46450 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 9003838314240 in words is "nine trillion, three billion, eight hundred thirty-eight million, three hundred fourteen thousand, two hundred forty".