41011354080 has 384 divisors, whose sum is σ = 153590169600. Its totient is φ = 10189670400.

The previous prime is 41011354057. The next prime is 41011354147. The reversal of 41011354080 is 8045311014.

It is a happy number.

41011354080 is a `hidden beast` number, since 4 + 1 + 0 + 113 + 540 + 8 + 0 = 666.

41011354080 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5002785 + ... + 5010975.

It is an arithmetic number, because the mean of its divisors is an integer number (399974400).

Almost surely, 2^41011354080 is an apocalyptic number.

41011354080 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 41011354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76795084800).

41011354080 is an abundant number, since it is smaller than the sum of its proper divisors (112578815520).

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

41011354080 is a wasteful number, since it uses less digits than its factorization.

41011354080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 41011354080 its reverse (8045311014), we get a palindrome (49056665094).

The spelling of 41011354080 in words is "forty-one billion, eleven million, three hundred fifty-four thousand, eighty".