41026986000000 has 6720 divisors, whose sum is σ = 215442279803520. Its totient is φ = 7527168000000.

The previous prime is 41026985999933. The next prime is 41026986000001. The reversal of 41026986000000 is 68962014.

41026986000000 is a `hidden beast` number, since 41 + 0 + 2 + 6 + 9 + 8 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is not an unprimeable number, because it can be changed into a prime (41026986000001) by changing a digit.

It is a polite number, since it can be written in 839 ways as a sum of consecutive naturals, for example, 1783781999989 + ... + 1783782000011.

It is an arithmetic number, because the mean of its divisors is an integer number (32059863066).

Almost surely, 2^{41026986000000} is an apocalyptic number.

41026986000000 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 41026986000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107721139901760).

41026986000000 is an abundant number, since it is smaller than the sum of its proper divisors (174415293803520).

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

41026986000000 is an equidigital number, since it uses as much as digits as its factorization.

41026986000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 41026986000000 in words is "forty-one trillion, twenty-six billion, nine hundred eighty-six million", and thus it is an aban number.