544221024100 has 144 divisors (see below), whose sum is σ = 1278183816000. Its totient is φ = 199937733120.

The previous prime is 544221024097. The next prime is 544221024101. The reversal of 544221024100 is 1420122445.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (544221024101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279229926 + ... + 279231874.

It is an arithmetic number, because the mean of its divisors is an integer number (8876276500).

Almost surely, 2^544221024100 is an apocalyptic number.

544221024100 is a gapful number since it is divisible by the number (50) 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 544221024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639091908000).

544221024100 is an abundant number, since it is smaller than the sum of its proper divisors (733962791900).

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

544221024100 is a wasteful number, since it uses less digits than its factorization.

544221024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 544221024100 its reverse (1420122445), we get a palindrome (545641146545).

The spelling of 544221024100 in words is "five hundred forty-four billion, two hundred twenty-one million, twenty-four thousand, one hundred".