20144144400 has 120 divisors (see below), whose sum is σ = 64962062400. Its totient is φ = 5335672320.

The previous prime is 20144144369. The next prime is 20144144417. The reversal of 20144144400 is 444144102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122469 + ... + 235131.

It is an arithmetic number, because the mean of its divisors is an integer number (541350520).

Almost surely, 2^20144144400 is an apocalyptic number.

20144144400 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 20144144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32481031200).

20144144400 is an abundant number, since it is smaller than the sum of its proper divisors (44817918000).

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

20144144400 is a wasteful number, since it uses less digits than its factorization.

20144144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112833 (or 112822 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20144144400 its reverse (444144102), we get a palindrome (20588288502).

It can be divided in two parts, 2014 and 4144400, that added together give a palindrome (4146414).

The spelling of 20144144400 in words is "twenty billion, one hundred forty-four million, one hundred forty-four thousand, four hundred".