2141430224400 has 270 divisors, whose sum is σ = 7592864038682. Its totient is φ = 558896025600.

The previous prime is 2141430224389. The next prime is 2141430224407. The reversal of 2141430224400 is 44220341412.

2141430224400 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 4 + 30 + 224 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 560989016064 + 1580441208336 = 748992^2 + 1257156^2 .

It is not an unprimeable number, because it can be changed into a prime (2141430224407) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 7817760 + ... + 8087040.

Almost surely, 2^{2141430224400} is an apocalyptic number.

2141430224400 is a gapful number since it is divisible by the number (20) 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 2141430224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796432019341).

2141430224400 is an abundant number, since it is smaller than the sum of its proper divisors (5451433814282).

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

2141430224400 is a wasteful number, since it uses less digits than its factorization.

2141430224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269399 (or 269338 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2141430224400 its reverse (44220341412), we get a palindrome (2185650565812).

The spelling of 2141430224400 in words is "two trillion, one hundred forty-one billion, four hundred thirty million, two hundred twenty-four thousand, four hundred".