41002410114000 has 480 divisors, whose sum is σ = 150603583253760. Its totient is φ = 10779967296000.

The previous prime is 41002410113999. The next prime is 41002410114013. The reversal of 41002410114000 is 41101420014.

41002410114000 is a `hidden beast` number, since 4 + 10 + 0 + 241 + 0 + 11 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33911866 + ... + 35100134.

It is an arithmetic number, because the mean of its divisors is an integer number (313757465112).

Almost surely, 2^{41002410114000} is an apocalyptic number.

41002410114000 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 41002410114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75301791626880).

41002410114000 is an abundant number, since it is smaller than the sum of its proper divisors (109601173139760).

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

41002410114000 is a wasteful number, since it uses less digits than its factorization.

41002410114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188378 (or 1188350 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41002410114000 its reverse (41101420014), we get a palindrome (41043511534014).

The spelling of 41002410114000 in words is "forty-one trillion, two billion, four hundred ten million, one hundred fourteen thousand".