41815413120 has 512 divisors, whose sum is σ = 151016140800. Its totient is φ = 9822658560.

The previous prime is 41815413119. The next prime is 41815413131. The reversal of 41815413120 is 2131451814.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 97019305 + ... + 97019735.

It is an arithmetic number, because the mean of its divisors is an integer number (294953400).

Almost surely, 2^41815413120 is an apocalyptic number.

41815413120 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 41815413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75508070400).

41815413120 is an abundant number, since it is smaller than the sum of its proper divisors (109200727680).

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

41815413120 is a wasteful number, since it uses less digits than its factorization.

41815413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 41815413120 its reverse (2131451814), we get a palindrome (43946864934).

The spelling of 41815413120 in words is "forty-one billion, eight hundred fifteen million, four hundred thirteen thousand, one hundred twenty".