10001044321440 has 192 divisors, whose sum is σ = 33932553177600. Its totient is φ = 2467821855744.

The previous prime is 10001044321427. The next prime is 10001044321441. The reversal of 10001044321440 is 4412344010001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10001044321440.

It is not an unprimeable number, because it can be changed into a prime (10001044321441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12359070 + ... + 13143389.

It is an arithmetic number, because the mean of its divisors is an integer number (176732047800).

Almost surely, 2^{10001044321440} is an apocalyptic number.

10001044321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001044321440 is an abundant number, since it is smaller than the sum of its proper divisors (23931508856160).

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

10001044321440 is a wasteful number, since it uses less digits than its factorization.

10001044321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25502539 (or 25502531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10001044321440 its reverse (4412344010001), we get a palindrome (14413388331441).

The spelling of 10001044321440 in words is "ten trillion, one billion, forty-four million, three hundred twenty-one thousand, four hundred forty".