21144310000 has 200 divisors, whose sum is σ = 56172619008. Its totient is φ = 7644000000.

The previous prime is 21144309983. The next prime is 21144310001. The reversal of 21144310000 is 1344112.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×21144310000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144310001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23209545 + ... + 23210455.

Almost surely, 2^21144310000 is an apocalyptic number.

21144310000 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 21144310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28086309504).

21144310000 is an abundant number, since it is smaller than the sum of its proper divisors (35028309008).

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

21144310000 is a wasteful number, since it uses less digits than its factorization.

21144310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21144310000 its reverse (1344112), we get a palindrome (21145654112).

The spelling of 21144310000 in words is "twenty-one billion, one hundred forty-four million, three hundred ten thousand".