9404955360 has 288 divisors, whose sum is σ = 33761774592. Its totient is φ = 2471938560.

The previous prime is 9404955341. The next prime is 9404955377. The reversal of 9404955360 is 635594049.

9404955360 is a `hidden beast` number, since 94 + 0 + 4 + 9 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2758777 + ... + 2762183.

It is an arithmetic number, because the mean of its divisors is an integer number (117228384).

Almost surely, 2^9404955360 is an apocalyptic number.

9404955360 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 9404955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880887296).

9404955360 is an abundant number, since it is smaller than the sum of its proper divisors (24356819232).

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

9404955360 is a wasteful number, since it uses less digits than its factorization.

9404955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 9404955360 is about 96979.1490991749. The cubic root of 9404955360 is about 2110.8250825618.

The spelling of 9404955360 in words is "nine billion, four hundred four million, nine hundred fifty-five thousand, three hundred sixty".