1101431410044 has 96 divisors (see below), whose sum is σ = 3001340805120. Its totient is φ = 307824729792.

The previous prime is 1101431410043. The next prime is 1101431410049. The reversal of 1101431410044 is 4400141341011.

It is a junction number, because it is equal to n+sod(n) for n = 1101431409996 and 1101431410023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101431410043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6977017 + ... + 7133135.

It is an arithmetic number, because the mean of its divisors is an integer number (31263966720).

Almost surely, 2^{1101431410044} is an apocalyptic number.

1101431410044 is a gapful number since it is divisible by the number (14) 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 1101431410044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500670402560).

1101431410044 is an abundant number, since it is smaller than the sum of its proper divisors (1899909395076).

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

1101431410044 is a wasteful number, since it uses less digits than its factorization.

1101431410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157967 (or 157965 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1101431410044 its reverse (4400141341011), we get a palindrome (5501572751055).

The spelling of 1101431410044 in words is "one trillion, one hundred one billion, four hundred thirty-one million, four hundred ten thousand, forty-four".