41273186080 has 288 divisors, whose sum is σ = 117279187200. Its totient is φ = 13678479360.

The previous prime is 41273186063. The next prime is 41273186089. The reversal of 41273186080 is 8068137214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41273186089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29501221 + ... + 29502619.

It is an arithmetic number, because the mean of its divisors is an integer number (407219400).

Almost surely, 2^41273186080 is an apocalyptic number.

41273186080 is a gapful number since it is divisible by the number (40) 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 41273186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58639593600).

41273186080 is an abundant number, since it is smaller than the sum of its proper divisors (76006001120).

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

41273186080 is a wasteful number, since it uses less digits than its factorization.

41273186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 41273186080 in words is "forty-one billion, two hundred seventy-three million, one hundred eighty-six thousand, eighty".