41216227920 has 400 divisors, whose sum is σ = 164609964288. Its totient is φ = 9362718720.

The previous prime is 41216227867. The next prime is 41216227951. The reversal of 41216227920 is 2972261214.

41216227920 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 622 + 7 + 9 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7572400 + ... + 7577840.

Almost surely, 2^41216227920 is an apocalyptic number.

41216227920 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 41216227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82304982144).

41216227920 is an abundant number, since it is smaller than the sum of its proper divisors (123393736368).

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

41216227920 is a wasteful number, since it uses less digits than its factorization.

41216227920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41216227920 in words is "forty-one billion, two hundred sixteen million, two hundred twenty-seven thousand, nine hundred twenty".