41421384000 has 672 divisors, whose sum is σ = 160739669376. Its totient is φ = 10141286400.

The previous prime is 41421383933. The next prime is 41421384007. The reversal of 41421384000 is 48312414.

41421384000 is a `hidden beast` number, since 41 + 4 + 213 + 8 + 400 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41421384007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 52631607 + ... + 52632393.

Almost surely, 2^41421384000 is an apocalyptic number.

41421384000 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 41421384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80369834688).

41421384000 is an abundant number, since it is smaller than the sum of its proper divisors (119318285376).

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

41421384000 is a wasteful number, since it uses less digits than its factorization.

41421384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41421384000 its reverse (48312414), we get a palindrome (41469696414).

The spelling of 41421384000 in words is "forty-one billion, four hundred twenty-one million, three hundred eighty-four thousand".