41671378100 has 72 divisors (see below), whose sum is σ = 98692933248. Its totient is φ = 15146252800.

The previous prime is 41671378079. The next prime is 41671378109. The reversal of 41671378100 is 187317614.

It is a happy number.

It is a super-2 number, since 2×41671378100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41671378109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2789852 + ... + 2804748.

It is an arithmetic number, because the mean of its divisors is an integer number (1370735184).

Almost surely, 2^41671378100 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 41671378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49346466624).

41671378100 is an abundant number, since it is smaller than the sum of its proper divisors (57021555148).

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

41671378100 is a wasteful number, since it uses less digits than its factorization.

41671378100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17465 (or 17458 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 41671378100 in words is "forty-one billion, six hundred seventy-one million, three hundred seventy-eight thousand, one hundred".