13311434444040 has 160 divisors (see below), whose sum is σ = 44758735611480. Its totient is φ = 3548325408768.

The previous prime is 13311434444039. The next prime is 13311434444047. The reversal of 13311434444040 is 4044443411331.

13311434444040 is a `hidden beast` number, since 1 + 3 + 31 + 143 + 4 + 4 + 440 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9632196402084 + 3679238041956 = 3103578^2 + 1918134^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13311434443986 and 13311434444004.

It is not an unprimeable number, because it can be changed into a prime (13311434444047) 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 39 ways as a sum of consecutive naturals, for example, 7481304 + ... + 9088056.

Almost surely, 2^{13311434444040} is an apocalyptic number.

13311434444040 is a gapful number since it is divisible by the number (10) 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 13311434444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22379367805740).

13311434444040 is an abundant number, since it is smaller than the sum of its proper divisors (31447301167440).

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

13311434444040 is a wasteful number, since it uses less digits than its factorization.

13311434444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609333 (or 1609320 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13311434444040 its reverse (4044443411331), we get a palindrome (17355877855371).

The spelling of 13311434444040 in words is "thirteen trillion, three hundred eleven billion, four hundred thirty-four million, four hundred forty-four thousand, forty".