13041514038672 has 360 divisors, whose sum is σ = 42579302875200. Its totient is φ = 3715431842304.

The previous prime is 13041514038671. The next prime is 13041514038677. The reversal of 13041514038672 is 27683041514031.

13041514038672 is a `hidden beast` number, since 1 + 3 + 0 + 41 + 514 + 0 + 38 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13041514038671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4437396979 + ... + 4437399917.

It is an arithmetic number, because the mean of its divisors is an integer number (118275841320).

Almost surely, 2^{13041514038672} is an apocalyptic number.

13041514038672 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 13041514038672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21289651437600).

13041514038672 is an abundant number, since it is smaller than the sum of its proper divisors (29537788836528).

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

13041514038672 is a wasteful number, since it uses less digits than its factorization.

13041514038672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13041514038672 in words is "thirteen trillion, forty-one billion, five hundred fourteen million, thirty-eight thousand, six hundred seventy-two".