21040144000 has 256 divisors, whose sum is σ = 55940227200. Its totient is φ = 7846502400.

The previous prime is 21040143991. The next prime is 21040144007. The reversal of 21040144000 is 44104012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21040144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20367484 + ... + 20368516.

Almost surely, 2^21040144000 is an apocalyptic number.

21040144000 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 21040144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27970113600).

21040144000 is an abundant number, since it is smaller than the sum of its proper divisors (34900083200).

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

21040144000 is a wasteful number, since it uses less digits than its factorization.

21040144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21040144000 its reverse (44104012), we get a palindrome (21084248012).

The spelling of 21040144000 in words is "twenty-one billion, forty million, one hundred forty-four thousand".