544904807040 has 640 divisors, whose sum is σ = 2129658505920. Its totient is φ = 131675258880.

The previous prime is 544904807023. The next prime is 544904807047. The reversal of 544904807040 is 40708409445.

544904807040 is a `hidden beast` number, since 5 + 44 + 90 + 480 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (544904807047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 201293367 + ... + 201296073.

Almost surely, 2^544904807040 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 544904807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064829252960).

544904807040 is an abundant number, since it is smaller than the sum of its proper divisors (1584753698880).

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

544904807040 is a wasteful number, since it uses less digits than its factorization.

544904807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 544904807040 in words is "five hundred forty-four billion, nine hundred four million, eight hundred seven thousand, forty".