10444012011040 has 48 divisors (see below), whose sum is σ = 24674549222232. Its totient is φ = 4177508153344.

The previous prime is 10444012011031. The next prime is 10444012011071. The reversal of 10444012011040 is 4011021044401.

It can be written as a sum of positive squares in 4 ways, for example, as 9327380213776 + 1116631797264 = 3054076^2 + 1056708^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6393102 + ... + 7858738.

Almost surely, 2^{10444012011040} is an apocalyptic number.

10444012011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444012011040 is an abundant number, since it is smaller than the sum of its proper divisors (14230537211192).

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

10444012011040 is a wasteful number, since it uses less digits than its factorization.

10444012011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510189 (or 1510181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10444012011040 its reverse (4011021044401), we get a palindrome (14455033055441).

The spelling of 10444012011040 in words is "ten trillion, four hundred forty-four billion, twelve million, eleven thousand, forty".