41004633120 has 192 divisors, whose sum is σ = 141855235200. Its totient is φ = 9873612800.

The previous prime is 41004633091. The next prime is 41004633121. The reversal of 41004633120 is 2133640014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41004633121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760660 + ... + 812780.

It is an arithmetic number, because the mean of its divisors is an integer number (738829350).

Almost surely, 2^41004633120 is an apocalyptic number.

41004633120 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 41004633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70927617600).

41004633120 is an abundant number, since it is smaller than the sum of its proper divisors (100850602080).

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

41004633120 is a wasteful number, since it uses less digits than its factorization.

41004633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52299 (or 52291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 41004633120 in words is "forty-one billion, four million, six hundred thirty-three thousand, one hundred twenty".