10441132111140 has 96 divisors (see below), whose sum is σ = 29301728569344. Its totient is φ = 2777967797760.

The previous prime is 10441132111079. The next prime is 10441132111141. The reversal of 10441132111140 is 4111123114401.

It is a happy number.

It is a super-3 number, since 3×10441132111140³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10441132111140.

It is not an unprimeable number, because it can be changed into a prime (10441132111141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 70475622 + ... + 70623618.

It is an arithmetic number, because the mean of its divisors is an integer number (305226339264).

Almost surely, 2^{10441132111140} is an apocalyptic number.

10441132111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441132111140 is an abundant number, since it is smaller than the sum of its proper divisors (18860596458204).

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

10441132111140 is a wasteful number, since it uses less digits than its factorization.

10441132111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150677 (or 150675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 10441132111140 its reverse (4111123114401), we get a palindrome (14552255225541).

The spelling of 10441132111140 in words is "ten trillion, four hundred forty-one billion, one hundred thirty-two million, one hundred eleven thousand, one hundred forty".