9894205440 has 576 divisors, whose sum is σ = 40117896000. Its totient is φ = 2254307328.

The previous prime is 9894205379. The next prime is 9894205487. The reversal of 9894205440 is 445024989.

9894205440 is a `hidden beast` number, since 9 + 89 + 4 + 20 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31610724 + ... + 31611036.

It is an arithmetic number, because the mean of its divisors is an integer number (69649125).

Almost surely, 2^9894205440 is an apocalyptic number.

9894205440 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 9894205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058948000).

9894205440 is an abundant number, since it is smaller than the sum of its proper divisors (30223690560).

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

9894205440 is a wasteful number, since it uses less digits than its factorization.

9894205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9894205440 is about 99469.6206889320. The cubic root of 9894205440 is about 2146.8101563400.

The spelling of 9894205440 in words is "nine billion, eight hundred ninety-four million, two hundred five thousand, four hundred forty".