41160208320 has 1120 divisors, whose sum is σ = 187366265856. Its totient is φ = 8327577600.

The previous prime is 41160208301. The next prime is 41160208351. The reversal of 41160208320 is 2380206114.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 81829189 + ... + 81829691.

Almost surely, 2^41160208320 is an apocalyptic number.

41160208320 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 41160208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93683132928).

41160208320 is an abundant number, since it is smaller than the sum of its proper divisors (146206057536).

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

41160208320 is a wasteful number, since it uses less digits than its factorization.

41160208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 41160208320 in words is "forty-one billion, one hundred sixty million, two hundred eight thousand, three hundred twenty".