41641004264832 has 768 divisors, whose sum is σ = 144943299072000. Its totient is φ = 11733065809920.

The previous prime is 41641004264813. The next prime is 41641004264857. The reversal of 41641004264832 is 23846240014614.

It is a happy number.

41641004264832 is a `hidden beast` number, since 4 + 1 + 64 + 100 + 4 + 2 + 6 + 483 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18207696393 + ... + 18207698679.

It is an arithmetic number, because the mean of its divisors is an integer number (188728254000).

Almost surely, 2^{41641004264832} is an apocalyptic number.

41641004264832 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 41641004264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72471649536000).

41641004264832 is an abundant number, since it is smaller than the sum of its proper divisors (103302294807168).

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

41641004264832 is a wasteful number, since it uses less digits than its factorization.

41641004264832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 41641004264832 in words is "forty-one trillion, six hundred forty-one billion, four million, two hundred sixty-four thousand, eight hundred thirty-two".