41150229120 has 1920 divisors, whose sum is σ = 201646558080. Its totient is φ = 7763558400.

The previous prime is 41150229091. The next prime is 41150229161. The reversal of 41150229120 is 2192205114.

41150229120 is a `hidden beast` number, since 4 + 11 + 502 + 29 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 674593890 + ... + 674593950.

It is an arithmetic number, because the mean of its divisors is an integer number (105024249).

Almost surely, 2^41150229120 is an apocalyptic number.

41150229120 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 41150229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100823279040).

41150229120 is an abundant number, since it is smaller than the sum of its proper divisors (160496328960).

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

41150229120 is a wasteful number, since it uses less digits than its factorization.

41150229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 41150229120 in words is "forty-one billion, one hundred fifty million, two hundred twenty-nine thousand, one hundred twenty".