544438397440 has 320 divisors, whose sum is σ = 1530724884480. Its totient is φ = 181825781760.

The previous prime is 544438397381. The next prime is 544438397441. The reversal of 544438397440 is 44793834445.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (544438397441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378344241 + ... + 378345679.

It is an arithmetic number, because the mean of its divisors is an integer number (4783515264).

Almost surely, 2^544438397440 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 544438397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765362442240).

544438397440 is an abundant number, since it is smaller than the sum of its proper divisors (986286487040).

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

544438397440 is a wasteful number, since it uses less digits than its factorization.

544438397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

It can be divided in two parts, 544438 and 397440, that added together give a triangular number (941878 = T₁₃₇₂).

The spelling of 544438397440 in words is "five hundred forty-four billion, four hundred thirty-eight million, three hundred ninety-seven thousand, four hundred forty".