21144142400000 has 480 divisors, whose sum is σ = 55717965072000. Its totient is φ = 7993313280000.

The previous prime is 21144142399907. The next prime is 21144142400071. The reversal of 21144142400000 is 424144112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25201599581 + ... + 25201600419.

It is an arithmetic number, because the mean of its divisors is an integer number (116079093900).

Almost surely, 2^{21144142400000} is an apocalyptic number.

21144142400000 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 21144142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858982536000).

21144142400000 is an abundant number, since it is smaller than the sum of its proper divisors (34573822672000).

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

21144142400000 is an frugal number, since it uses more digits than its factorization.

21144142400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 21144142400000 its reverse (424144112), we get a palindrome (21144566544112).

The spelling of 21144142400000 in words is "twenty-one trillion, one hundred forty-four billion, one hundred forty-two million, four hundred thousand".