41300401120 has 192 divisors, whose sum is σ = 112896649152. Its totient is φ = 14110720000.

The previous prime is 41300401091. The next prime is 41300401187. The reversal of 41300401120 is 2110400314.

41300401120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41300401094 and 41300401103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31744470 + ... + 31745770.

It is an arithmetic number, because the mean of its divisors is an integer number (588003381).

Almost surely, 2^41300401120 is an apocalyptic number.

41300401120 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 41300401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448324576).

41300401120 is an abundant number, since it is smaller than the sum of its proper divisors (71596248032).

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

41300401120 is a wasteful number, since it uses less digits than its factorization.

41300401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41300401120 its reverse (2110400314), we get a palindrome (43410801434).

The spelling of 41300401120 in words is "forty-one billion, three hundred million, four hundred one thousand, one hundred twenty".