41287454880 has 288 divisors, whose sum is σ = 151521814080. Its totient is φ = 9422622720.

The previous prime is 41287454863. The next prime is 41287454881. The reversal of 41287454880 is 8845478214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41287454881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25659516 + ... + 25661124.

It is an arithmetic number, because the mean of its divisors is an integer number (526117410).

Almost surely, 2^41287454880 is an apocalyptic number.

41287454880 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 41287454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75760907040).

41287454880 is an abundant number, since it is smaller than the sum of its proper divisors (110234359200).

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

41287454880 is a wasteful number, since it uses less digits than its factorization.

41287454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 51.

The spelling of 41287454880 in words is "forty-one billion, two hundred eighty-seven million, four hundred fifty-four thousand, eight hundred eighty".