13041058140 has 288 divisors, whose sum is σ = 45035040960. Its totient is φ = 3050826240.

The previous prime is 13041058117. The next prime is 13041058159. The reversal of 13041058140 is 4185014031.

It is a happy number.

13041058140 is a `hidden beast` number, since 1 + 3 + 0 + 41 + 0 + 581 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6946882 + ... + 6948758.

It is an arithmetic number, because the mean of its divisors is an integer number (156371670).

Almost surely, 2^13041058140 is an apocalyptic number.

13041058140 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 13041058140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22517520480).

13041058140 is an abundant number, since it is smaller than the sum of its proper divisors (31993982820).

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

13041058140 is a wasteful number, since it uses less digits than its factorization.

13041058140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 13041058140 in words is "thirteen billion, forty-one million, fifty-eight thousand, one hundred forty".