13041936180 has 432 divisors, whose sum is σ = 49687223040. Its totient is φ = 2710775808.

The previous prime is 13041936179. The next prime is 13041936191. The reversal of 13041936180 is 8163914031.

13041936180 is a `hidden beast` number, since 1 + 30 + 4 + 1 + 9 + 3 + 618 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15544201 + ... + 15545039.

It is an arithmetic number, because the mean of its divisors is an integer number (115016720).

Almost surely, 2^13041936180 is an apocalyptic number.

13041936180 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 13041936180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24843611520).

13041936180 is an abundant number, since it is smaller than the sum of its proper divisors (36645286860).

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

13041936180 is a wasteful number, since it uses less digits than its factorization.

13041936180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13041936180 in words is "thirteen billion, forty-one million, nine hundred thirty-six thousand, one hundred eighty".