41249526120 has 192 divisors, whose sum is σ = 147067876800. Its totient is φ = 9943848960.

The previous prime is 41249526113. The next prime is 41249526139. The reversal of 41249526120 is 2162594214.

It is a happy number.

41249526120 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 9 + 526 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679744 + ... + 737936.

It is an arithmetic number, because the mean of its divisors is an integer number (765978525).

Almost surely, 2^41249526120 is an apocalyptic number.

41249526120 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 41249526120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73533938400).

41249526120 is an abundant number, since it is smaller than the sum of its proper divisors (105818350680).

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

41249526120 is a wasteful number, since it uses less digits than its factorization.

41249526120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58400 (or 58393 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 41249526120 in words is "forty-one billion, two hundred forty-nine million, five hundred twenty-six thousand, one hundred twenty".