20144410000 has 200 divisors, whose sum is σ = 57302207424. Its totient is φ = 6761280000.

The previous prime is 20144409997. The next prime is 20144410001. The reversal of 20144410000 is 1444102.

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

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 (20144410001) 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, 1422957 + ... + 1437043.

Almost surely, 2^20144410000 is an apocalyptic number.

20144410000 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 20144410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651103712).

20144410000 is an abundant number, since it is smaller than the sum of its proper divisors (37157797424).

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

20144410000 is a wasteful number, since it uses less digits than its factorization.

20144410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139 (or 14118 counting only the distinct ones).

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

Adding to 20144410000 its reverse (1444102), we get a palindrome (20145854102).

The spelling of 20144410000 in words is "twenty billion, one hundred forty-four million, four hundred ten thousand".