41282273894400 has 5040 divisors, whose sum is σ = 205123972743360. Its totient is φ = 8126654054400.

The previous prime is 41282273894363. The next prime is 41282273894417. The reversal of 41282273894400 is 449837228214.

41282273894400 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 227 + 3 + 8 + 9 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×41282273894400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2172751257591 + ... + 2172751257609.

Almost surely, 2^{41282273894400} is an apocalyptic number.

41282273894400 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 41282273894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102561986371680).

41282273894400 is an abundant number, since it is smaller than the sum of its proper divisors (163841698848960).

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

41282273894400 is an frugal number, since it uses more digits than its factorization.

41282273894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 41282273894400 in words is "forty-one trillion, two hundred eighty-two billion, two hundred seventy-three million, eight hundred ninety-four thousand, four hundred".