41006839680000 has 4400 divisors, whose sum is σ = 178277572915200. Its totient is φ = 9316270080000.

The previous prime is 41006839679947. The next prime is 41006839680011. The reversal of 41006839680000 is 8693860014.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 519073919961 + ... + 519073920039.

It is an arithmetic number, because the mean of its divisors is an integer number (40517630208).

Almost surely, 2^{41006839680000} is an apocalyptic number.

41006839680000 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 41006839680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89138786457600).

41006839680000 is an abundant number, since it is smaller than the sum of its proper divisors (137270733235200).

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

41006839680000 is a wasteful number, since it uses less digits than its factorization.

41006839680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41006839680000 in words is "forty-one trillion, six billion, eight hundred thirty-nine million, six hundred eighty thousand".