544106004480 has 480 divisors, whose sum is σ = 1959068153280. Its totient is φ = 145047158784.

The previous prime is 544106004467. The next prime is 544106004487. The reversal of 544106004480 is 84400601445.

It is a happy number.

544106004480 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 0 + 600 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×544106004480² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (544106004487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 179157522 + ... + 179160558.

It is an arithmetic number, because the mean of its divisors is an integer number (4081391986).

Almost surely, 2^544106004480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544106004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979534076640).

544106004480 is an abundant number, since it is smaller than the sum of its proper divisors (1414962148800).

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

544106004480 is an frugal number, since it uses more digits than its factorization.

544106004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 544106004480 in words is "five hundred forty-four billion, one hundred six million, four thousand, four hundred eighty".