13041079460352 has 360 divisors, whose sum is σ = 40344111954432. Its totient is φ = 4206766233600.

The previous prime is 13041079460341. The next prime is 13041079460393. The reversal of 13041079460352 is 25306497014031.

13041079460352 is a `hidden beast` number, since 1 + 30 + 4 + 1 + 0 + 7 + 9 + 4 + 603 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13041079460298 and 13041079460307.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 104073577 + ... + 104198807.

Almost surely, 2^{13041079460352} is an apocalyptic number.

13041079460352 is a gapful number since it is divisible by the number (12) 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 13041079460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20172055977216).

13041079460352 is an abundant number, since it is smaller than the sum of its proper divisors (27303032494080).

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

13041079460352 is an frugal number, since it uses more digits than its factorization.

13041079460352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125304 (or 125267 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13041079460352 in words is "thirteen trillion, forty-one billion, seventy-nine million, four hundred sixty thousand, three hundred fifty-two".