41675192064 has 576 divisors, whose sum is σ = 139503490560. Its totient is φ = 12317184000.

The previous prime is 41675192029. The next prime is 41675192077. The reversal of 41675192064 is 46029157614.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412625614 + ... + 412625714.

It is an arithmetic number, because the mean of its divisors is an integer number (242193560).

Almost surely, 2^41675192064 is an apocalyptic number.

41675192064 is a gapful number since it is divisible by the number (44) 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 41675192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69751745280).

41675192064 is an abundant number, since it is smaller than the sum of its proper divisors (97828298496).

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

41675192064 is an equidigital number, since it uses as much as digits as its factorization.

41675192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 41675192064 in words is "forty-one billion, six hundred seventy-five million, one hundred ninety-two thousand, sixty-four".