41950000576512 has 1536 divisors, whose sum is σ = 159101513625600. Its totient is φ = 10639594487808.

The previous prime is 41950000576483. The next prime is 41950000576513. The reversal of 41950000576512 is 21567500005914.

It is a happy number.

41950000576512 is a `hidden beast` number, since 4 + 19 + 50 + 0 + 0 + 0 + 5 + 76 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×41950000576512² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41950000576513) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11048194198 + ... + 11048197994.

It is an arithmetic number, because the mean of its divisors is an integer number (103581714600).

Almost surely, 2^{41950000576512} is an apocalyptic number.

41950000576512 is a gapful number since it is divisible by the number (42) 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 41950000576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79550756812800).

41950000576512 is an abundant number, since it is smaller than the sum of its proper divisors (117151513049088).

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

41950000576512 is a wasteful number, since it uses less digits than its factorization.

41950000576512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 41950000576512 in words is "forty-one trillion, nine hundred fifty billion, five hundred seventy-six thousand, five hundred twelve".