41413144389120 has 1600 divisors, whose sum is σ = 175794834124800. Its totient is φ = 9118239621120.

The previous prime is 41413144389107. The next prime is 41413144389121. The reversal of 41413144389120 is 2198344131414.

41413144389120 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 1 + 443 + 89 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41413144389121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10304338471 + ... + 10304342489.

It is an arithmetic number, because the mean of its divisors is an integer number (109871771328).

Almost surely, 2^{41413144389120} is an apocalyptic number.

41413144389120 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 41413144389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87897417062400).

41413144389120 is an abundant number, since it is smaller than the sum of its proper divisors (134381689735680).

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

41413144389120 is a wasteful number, since it uses less digits than its factorization.

41413144389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41413144389120 in words is "forty-one trillion, four hundred thirteen billion, one hundred forty-four million, three hundred eighty-nine thousand, one hundred twenty".