41170821120 has 1008 divisors, whose sum is σ = 171316899936. Its totient is φ = 9083289600.

The previous prime is 41170821101. The next prime is 41170821143. The reversal of 41170821120 is 2112807114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579870685 + ... + 579870755.

It is an arithmetic number, because the mean of its divisors is an integer number (169957242).

Almost surely, 2^41170821120 is an apocalyptic number.

41170821120 is a gapful number since it is divisible by the number (40) 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 41170821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85658449968).

41170821120 is an abundant number, since it is smaller than the sum of its proper divisors (130146078816).

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

41170821120 is a wasteful number, since it uses less digits than its factorization.

41170821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 41170821120 in words is "forty-one billion, one hundred seventy million, eight hundred twenty-one thousand, one hundred twenty".