41284051200 has 1296 divisors, whose sum is σ = 188601678720. Its totient is φ = 8387297280.

The previous prime is 41284051187. The next prime is 41284051213. The reversal of 41284051200 is 215048214.

41284051200 is a `hidden beast` number, since 412 + 8 + 40 + 5 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (41284051187) and next prime (41284051213).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130233442 + ... + 130233758.

Almost surely, 2^41284051200 is an apocalyptic number.

41284051200 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 41284051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94300839360).

41284051200 is an abundant number, since it is smaller than the sum of its proper divisors (147317627520).

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

41284051200 is a wasteful number, since it uses less digits than its factorization.

41284051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 41284051200 its reverse (215048214), we get a palindrome (41499099414).

The spelling of 41284051200 in words is "forty-one billion, two hundred eighty-four million, fifty-one thousand, two hundred".