41082785452800 has 3456 divisors, whose sum is σ = 197345789061120. Its totient is φ = 8115506380800.

The previous prime is 41082785452789. The next prime is 41082785452853. The reversal of 41082785452800 is 825458728014.

41082785452800 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 2 + 78 + 545 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83671660555 + ... + 83671661045.

It is an arithmetic number, because the mean of its divisors is an integer number (57102369520).

Almost surely, 2^{41082785452800} is an apocalyptic number.

41082785452800 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 41082785452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98672894530560).

41082785452800 is an abundant number, since it is smaller than the sum of its proper divisors (156263003608320).

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

41082785452800 is a wasteful number, since it uses less digits than its factorization.

41082785452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 41082785452800 in words is "forty-one trillion, eighty-two billion, seven hundred eighty-five million, four hundred fifty-two thousand, eight hundred".