9644941440 has 384 divisors, whose sum is σ = 35515584000. Its totient is φ = 2406260736.

The previous prime is 9644941399. The next prime is 9644941447. The reversal of 9644941440 is 441494469.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9644941447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6225786 + ... + 6227334.

It is an arithmetic number, because the mean of its divisors is an integer number (92488500).

Almost surely, 2^9644941440 is an apocalyptic number.

9644941440 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 9644941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792000).

9644941440 is an abundant number, since it is smaller than the sum of its proper divisors (25870642560).

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

9644941440 is a wasteful number, since it uses less digits than its factorization.

9644941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9644941440 is about 98208.6627543619. The cubic root of 9644941440 is about 2128.6284630669.

The spelling of 9644941440 in words is "nine billion, six hundred forty-four million, nine hundred forty-one thousand, four hundred forty".