41385427200 has 1296 divisors, whose sum is σ = 174367589760. Its totient is φ = 9634775040.

The previous prime is 41385427169. The next prime is 41385427217. The reversal of 41385427200 is 272458314.

It is a happy number.

41385427200 is a `hidden beast` number, since 4 + 1 + 385 + 4 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 465004756 + ... + 465004844.

Almost surely, 2^41385427200 is an apocalyptic number.

41385427200 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 41385427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87183794880).

41385427200 is an abundant number, since it is smaller than the sum of its proper divisors (132982162560).

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

41385427200 is a wasteful number, since it uses less digits than its factorization.

41385427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 41385427200 in words is "forty-one billion, three hundred eighty-five million, four hundred twenty-seven thousand, two hundred".