1001040440320 has 176 divisors, whose sum is σ = 2472904846368. Its totient is φ = 388599644160.

The previous prime is 1001040440303. The next prime is 1001040440327. The reversal of 1001040440320 is 230440401001.

It is not an unprimeable number, because it can be changed into a prime (1001040440327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34550640 + ... + 34579600.

It is an arithmetic number, because the mean of its divisors is an integer number (14050595718).

Almost surely, 2^{1001040440320} is an apocalyptic number.

1001040440320 is a gapful number since it is divisible by the number (10) 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 1001040440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236452423184).

1001040440320 is an abundant number, since it is smaller than the sum of its proper divisors (1471864406048).

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

1001040440320 is a wasteful number, since it uses less digits than its factorization.

1001040440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29186 (or 29168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1001040440320 its reverse (230440401001), we get a palindrome (1231480841321).

The spelling of 1001040440320 in words is "one trillion, one billion, forty million, four hundred forty thousand, three hundred twenty".