41960382100 has 144 divisors (see below), whose sum is σ = 112299062400. Its totient is φ = 13252216320.

The previous prime is 41960382049. The next prime is 41960382127. The reversal of 41960382100 is 128306914.

It is a super-3 number, since 3×41960382100³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4627371 + ... + 4636429.

It is an arithmetic number, because the mean of its divisors is an integer number (779854600).

Almost surely, 2^41960382100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41960382100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56149531200).

41960382100 is an abundant number, since it is smaller than the sum of its proper divisors (70338680300).

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

41960382100 is a wasteful number, since it uses less digits than its factorization.

41960382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 41960382100 in words is "forty-one billion, nine hundred sixty million, three hundred eighty-two thousand, one hundred".