41139221760 has 1152 divisors, whose sum is σ = 182849372160. Its totient is φ = 8527970304.

The previous prime is 41139221719. The next prime is 41139221771. The reversal of 41139221760 is 6712293114.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323930817 + ... + 323930943.

Almost surely, 2^41139221760 is an apocalyptic number.

41139221760 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 41139221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91424686080).

41139221760 is an abundant number, since it is smaller than the sum of its proper divisors (141710150400).

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

41139221760 is a wasteful number, since it uses less digits than its factorization.

41139221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 41139221760 in words is "forty-one billion, one hundred thirty-nine million, two hundred twenty-one thousand, seven hundred sixty".