438625394944 has 243 divisors, whose sum is σ = 994877666797. Its totient is φ = 192858265600.

The previous prime is 438625394941. The next prime is 438625394969. The reversal of 438625394944 is 449493526834.

The square root of 438625394944 is 662288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 316203782400 + 122421612544 = 562320^2 + 349888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438625394941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6177822429 + ... + 6177822499.

Almost surely, 2^438625394944 is an apocalyptic number.

438625394944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

438625394944 is the 662288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438625394944

438625394944 is an abundant number, since it is smaller than the sum of its proper divisors (556252271853).

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

438625394944 is an frugal number, since it uses more digits than its factorization.

438625394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 137 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 61.

It can be divided in two parts, 438625 and 394944, that added together give a square (833569 = 913²).

The spelling of 438625394944 in words is "four hundred thirty-eight billion, six hundred twenty-five million, three hundred ninety-four thousand, nine hundred forty-four".