9445408938240 has 288 divisors, whose sum is σ = 32932696390272. Its totient is φ = 2288123904000.

The previous prime is 9445408938223. The next prime is 9445408938271. The reversal of 9445408938240 is 428398045449.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58252480 + ... + 58414400.

It is an arithmetic number, because the mean of its divisors is an integer number (114349640244).

Almost surely, 2^{9445408938240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9445408938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16466348195136).

9445408938240 is an abundant number, since it is smaller than the sum of its proper divisors (23487287452032).

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

9445408938240 is a wasteful number, since it uses less digits than its factorization.

9445408938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163337 (or 163323 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 9445408938240 in words is "nine trillion, four hundred forty-five billion, four hundred eight million, nine hundred thirty-eight thousand, two hundred forty".