41124021114000 has 640 divisors, whose sum is σ = 151641950294016. Its totient is φ = 9490736640000.

The previous prime is 41124021113941. The next prime is 41124021114017. The reversal of 41124021114000 is 41112042114.

41124021114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41124021114000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 320233804 + ... + 320362196.

Almost surely, 2^{41124021114000} is an apocalyptic number.

41124021114000 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 41124021114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75820975147008).

41124021114000 is an abundant number, since it is smaller than the sum of its proper divisors (110517929180016).

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

41124021114000 is a wasteful number, since it uses less digits than its factorization.

41124021114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128664 (or 128648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 41124021114000 its reverse (41112042114), we get a palindrome (41165133156114).

The spelling of 41124021114000 in words is "forty-one trillion, one hundred twenty-four billion, twenty-one million, one hundred fourteen thousand".