544505610240 has 360 divisors, whose sum is σ = 1933707281688. Its totient is φ = 141652131840.

The previous prime is 544505610239. The next prime is 544505610307. The reversal of 544505610240 is 42016505445.

544505610240 is a `hidden beast` number, since 5 + 4 + 4 + 50 + 561 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46905163776 + 497600446464 = 216576^2 + 705408^2 .

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 a junction number, because it is equal to n+sod(n) for n = 544505610195 and 544505610204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30219474 + ... + 30237486.

Almost surely, 2^544505610240 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 544505610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966853640844).

544505610240 is an abundant number, since it is smaller than the sum of its proper divisors (1389201671448).

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

544505610240 is a wasteful number, since it uses less digits than its factorization.

544505610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 544505610240 in words is "five hundred forty-four billion, five hundred five million, six hundred ten thousand, two hundred forty".