41534285760 has 1680 divisors, whose sum is σ = 185414533920. Its totient is φ = 8758886400.

The previous prime is 41534285717. The next prime is 41534285773. The reversal of 41534285760 is 6758243514.

41534285760 is a `hidden beast` number, since 4 + 1 + 53 + 4 + 28 + 576 + 0 = 666.

41534285760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1013031340 + ... + 1013031380.

It is an arithmetic number, because the mean of its divisors is an integer number (110365794).

Almost surely, 2^41534285760 is an apocalyptic number.

41534285760 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 41534285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92707266960).

41534285760 is an abundant number, since it is smaller than the sum of its proper divisors (143880248160).

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

41534285760 is a wasteful number, since it uses less digits than its factorization.

41534285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 41534285760 in words is "forty-one billion, five hundred thirty-four million, two hundred eighty-five thousand, seven hundred sixty".