41011125865008 has 320 divisors, whose sum is σ = 116852120985600. Its totient is φ = 12315459502080.

The previous prime is 41011125865007. The next prime is 41011125865081. The reversal of 41011125865008 is 80056852111014.

It is not an unprimeable number, because it can be changed into a prime (41011125865007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28699177638 + ... + 28699179066.

It is an arithmetic number, because the mean of its divisors is an integer number (365162878080).

Almost surely, 2^{41011125865008} is an apocalyptic number.

41011125865008 is a gapful number since it is divisible by the number (48) 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 41011125865008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58426060492800).

41011125865008 is an abundant number, since it is smaller than the sum of its proper divisors (75840995120592).

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

41011125865008 is a wasteful number, since it uses less digits than its factorization.

41011125865008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 41011125865008 in words is "forty-one trillion, eleven billion, one hundred twenty-five million, eight hundred sixty-five thousand, eight".