1101431441440 has 96 divisors (see below), whose sum is σ = 2899087075584. Its totient is φ = 391998781440.

The previous prime is 1101431441419. The next prime is 1101431441519. The reversal of 1101431441440 is 441441341011.

It is a happy number.

It is a super-3 number, since 3×1101431441440³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1101431441399 and 1101431441408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6574869 + ... + 6740308.

It is an arithmetic number, because the mean of its divisors is an integer number (30198823704).

Almost surely, 2^{1101431441440} is an apocalyptic number.

1101431441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101431441440 is an abundant number, since it is smaller than the sum of its proper divisors (1797655634144).

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

1101431441440 is a wasteful number, since it uses less digits than its factorization.

1101431441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315250 (or 13315242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1101431441440 its reverse (441441341011), we get a palindrome (1542872782451).

The spelling of 1101431441440 in words is "one trillion, one hundred one billion, four hundred thirty-one million, four hundred forty-one thousand, four hundred forty".