41061121920 has 1728 divisors, whose sum is σ = 193514106240. Its totient is φ = 7942717440.

The previous prime is 41061121867. The next prime is 41061121943. The reversal of 41061121920 is 2912116014.

41061121920 is a `hidden beast` number, since 4 + 1 + 0 + 611 + 21 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1324552305 + ... + 1324552335.

It is an arithmetic number, because the mean of its divisors is an integer number (111987330).

Almost surely, 2^41061121920 is an apocalyptic number.

41061121920 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 41061121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96757053120).

41061121920 is an abundant number, since it is smaller than the sum of its proper divisors (152452984320).

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

41061121920 is a wasteful number, since it uses less digits than its factorization.

41061121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 41061121920 its reverse (2912116014), we get a palindrome (43973237934).

The spelling of 41061121920 in words is "forty-one billion, sixty-one million, one hundred twenty-one thousand, nine hundred twenty".