41287034880 has 960 divisors, whose sum is σ = 182469006720. Its totient is φ = 8695185408.

The previous prime is 41287034839. The next prime is 41287034909. The reversal of 41287034880 is 8843078214.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×41287034880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 75478767 + ... + 75479313.

It is an arithmetic number, because the mean of its divisors is an integer number (190071882).

Almost surely, 2^41287034880 is an apocalyptic number.

41287034880 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 41287034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91234503360).

41287034880 is an abundant number, since it is smaller than the sum of its proper divisors (141181971840).

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

41287034880 is a wasteful number, since it uses less digits than its factorization.

41287034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 41287034880 in words is "forty-one billion, two hundred eighty-seven million, thirty-four thousand, eight hundred eighty".