41576952000 has 896 divisors, whose sum is σ = 153373409280. Its totient is φ = 9891840000.

The previous prime is 41576951957. The next prime is 41576952073. The reversal of 41576952000 is 25967514.

It is a super-2 number, since 2×41576952000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41576952000.

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 127 ways as a sum of consecutive naturals, for example, 884615977 + ... + 884616023.

It is an arithmetic number, because the mean of its divisors is an integer number (171175680).

Almost surely, 2^41576952000 is an apocalyptic number.

41576952000 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 41576952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76686704640).

41576952000 is an abundant number, since it is smaller than the sum of its proper divisors (111796457280).

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

41576952000 is a wasteful number, since it uses less digits than its factorization.

41576952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 41576952000 in words is "forty-one billion, five hundred seventy-six million, nine hundred fifty-two thousand".