9440901864576 has 1536 divisors, whose sum is σ = 36489398400000. Its totient is φ = 2322370068480.

The previous prime is 9440901864529. The next prime is 9440901864577. The reversal of 9440901864576 is 6754681090449.

9440901864576 is a `hidden beast` number, since 9 + 4 + 40 + 9 + 0 + 18 + 6 + 4 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9440901864577) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4843971250 + ... + 4843973198.

It is an arithmetic number, because the mean of its divisors is an integer number (23756118750).

Almost surely, 2^{9440901864576} is an apocalyptic number.

9440901864576 is a gapful number since it is divisible by the number (96) 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 9440901864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244699200000).

9440901864576 is an abundant number, since it is smaller than the sum of its proper divisors (27048496535424).

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

9440901864576 is a wasteful number, since it uses less digits than its factorization.

9440901864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 9440901864576 in words is "nine trillion, four hundred forty billion, nine hundred one million, eight hundred sixty-four thousand, five hundred seventy-six".