141224000400 has 360 divisors, whose sum is σ = 565547116160. Its totient is φ = 31965788160.

The previous prime is 141224000389. The next prime is 141224000419. The reversal of 141224000400 is 4000422141.

141224000400 is a `hidden beast` number, since 1 + 41 + 224 + 0 + 0 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 2568396 + ... + 2622804.

Almost surely, 2^141224000400 is an apocalyptic number.

141224000400 is a gapful number since it is divisible by the number (10) 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 141224000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282773558080).

141224000400 is an abundant number, since it is smaller than the sum of its proper divisors (424323115760).

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

141224000400 is a wasteful number, since it uses less digits than its factorization.

141224000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54543 (or 54529 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 141224000400 its reverse (4000422141), we get a palindrome (145224422541).

The spelling of 141224000400 in words is "one hundred forty-one billion, two hundred twenty-four million, four hundred", and thus it is an aban number.