41683207104 has 1008 divisors, whose sum is σ = 161315960832. Its totient is φ = 10160640000.

The previous prime is 41683207099. The next prime is 41683207123. The reversal of 41683207104 is 40170238614.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 587087389 + ... + 587087459.

Almost surely, 2^41683207104 is an apocalyptic number.

41683207104 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 41683207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80657980416).

41683207104 is an abundant number, since it is smaller than the sum of its proper divisors (119632753728).

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

41683207104 is a wasteful number, since it uses less digits than its factorization.

41683207104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41683207104 in words is "forty-one billion, six hundred eighty-three million, two hundred seven thousand, one hundred four".