544221572400 has 360 divisors, whose sum is σ = 2080705152240. Its totient is φ = 130625280000.

The previous prime is 544221572359. The next prime is 544221572459. The reversal of 544221572400 is 4275122445.

544221572400 is a `hidden beast` number, since 5 + 4 + 42 + 2 + 1 + 572 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3931566 + ... + 4067634.

It is an arithmetic number, because the mean of its divisors is an integer number (5779736534).

Almost surely, 2^544221572400 is an apocalyptic number.

544221572400 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 544221572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040352576120).

544221572400 is an abundant number, since it is smaller than the sum of its proper divisors (1536483579840).

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

544221572400 is a wasteful number, since it uses less digits than its factorization.

544221572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136205 (or 136191 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 544221572400 its reverse (4275122445), we get a palindrome (548496694845).

The spelling of 544221572400 in words is "five hundred forty-four billion, two hundred twenty-one million, five hundred seventy-two thousand, four hundred".