13041465408 has 168 divisors, whose sum is σ = 39895345152. Its totient is φ = 4058836992.

The previous prime is 13041465397. The next prime is 13041465413. The reversal of 13041465408 is 80456414031.

13041465408 is a `hidden beast` number, since 1 + 30 + 41 + 46 + 540 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238341 + ... + 1248827.

Almost surely, 2^13041465408 is an apocalyptic number.

13041465408 is a gapful number since it is divisible by the number (18) 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 13041465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947672576).

13041465408 is an abundant number, since it is smaller than the sum of its proper divisors (26853879744).

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

13041465408 is a wasteful number, since it uses less digits than its factorization.

13041465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 13041465408 its reverse (80456414031), we get a palindrome (93497879439).

The spelling of 13041465408 in words is "thirteen billion, forty-one million, four hundred sixty-five thousand, four hundred eight".