13044034113440 has 192 divisors, whose sum is σ = 36126847387008. Its totient is φ = 4397636812800.

The previous prime is 13044034113431. The next prime is 13044034113449. The reversal of 13044034113440 is 4431143044031.

It is an interprime number because it is at equal distance from previous prime (13044034113431) and next prime (13044034113449).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13044034113397 and 13044034113406.

It is not an unprimeable number, because it can be changed into a prime (13044034113449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248821 + ... + 5258100.

It is an arithmetic number, because the mean of its divisors is an integer number (188160663474).

Almost surely, 2^{13044034113440} is an apocalyptic number.

13044034113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044034113440 is an abundant number, since it is smaller than the sum of its proper divisors (23082813273568).

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

13044034113440 is a wasteful number, since it uses less digits than its factorization.

13044034113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507031 (or 6507023 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13044034113440 its reverse (4431143044031), we get a palindrome (17475177157471).

The spelling of 13044034113440 in words is "thirteen trillion, forty-four billion, thirty-four million, one hundred thirteen thousand, four hundred forty".