41011411320 has 1024 divisors, whose sum is σ = 168334848000. Its totient is φ = 8868372480.

The previous prime is 41011411283. The next prime is 41011411361. The reversal of 41011411320 is 2311411014.

41011411320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 41011411293 and 41011411302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 376251426 + ... + 376251534.

It is an arithmetic number, because the mean of its divisors is an integer number (164389500).

Almost surely, 2^41011411320 is an apocalyptic number.

41011411320 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 41011411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84167424000).

41011411320 is an abundant number, since it is smaller than the sum of its proper divisors (127323436680).

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

41011411320 is a wasteful number, since it uses less digits than its factorization.

41011411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 41011411320 its reverse (2311411014), we get a palindrome (43322822334).

The spelling of 41011411320 in words is "forty-one billion, eleven million, four hundred eleven thousand, three hundred twenty".