41284858034160 has 480 divisors, whose sum is σ = 155629898424000. Its totient is φ = 10110828478464.

The previous prime is 41284858034153. The next prime is 41284858034219. The reversal of 41284858034160 is 6143085848214.

41284858034160 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 48 + 580 + 3 + 4 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41284858034097 and 41284858034106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49371216 + ... + 50200464.

It is an arithmetic number, because the mean of its divisors is an integer number (324228955050).

Almost surely, 2^{41284858034160} is an apocalyptic number.

41284858034160 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 41284858034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77814949212000).

41284858034160 is an abundant number, since it is smaller than the sum of its proper divisors (114345040389840).

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

41284858034160 is a wasteful number, since it uses less digits than its factorization.

41284858034160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829487 (or 829469 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 41284858034160 in words is "forty-one trillion, two hundred eighty-four billion, eight hundred fifty-eight million, thirty-four thousand, one hundred sixty".