9439430408640 has 168 divisors, whose sum is σ = 32500949242320. Its totient is φ = 2514604253184.

The previous prime is 9439430408623. The next prime is 9439430408663. The reversal of 9439430408640 is 468040349349.

9439430408640 is a `hidden beast` number, since 94 + 3 + 9 + 430 + 4 + 0 + 86 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136391 + ... + 4491129.

Almost surely, 2^{9439430408640} is an apocalyptic number.

9439430408640 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 9439430408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250474621160).

9439430408640 is an abundant number, since it is smaller than the sum of its proper divisors (23061518833680).

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

9439430408640 is a wasteful number, since it uses less digits than its factorization.

9439430408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355739 (or 3355726 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 9439430408640 in words is "nine trillion, four hundred thirty-nine billion, four hundred thirty million, four hundred eight thousand, six hundred forty".