41033413120 has 320 divisors, whose sum is σ = 121408657920. Its totient is φ = 12989104128.

The previous prime is 41033413087. The next prime is 41033413133. The reversal of 41033413120 is 2131433014.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 41033413091 and 41033413100.

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, 11950924 + ... + 11954356.

It is an arithmetic number, because the mean of its divisors is an integer number (379402056).

Almost surely, 2^41033413120 is an apocalyptic number.

41033413120 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 41033413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60704328960).

41033413120 is an abundant number, since it is smaller than the sum of its proper divisors (80375244800).

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

41033413120 is a wasteful number, since it uses less digits than its factorization.

41033413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 41033413120 its reverse (2131433014), we get a palindrome (43164846134).

The spelling of 41033413120 in words is "forty-one billion, thirty-three million, four hundred thirteen thousand, one hundred twenty".