244303152040000 has 315 divisors, whose sum is σ = 626212885148433. Its totient is φ = 94531449600000.

The previous prime is 244303152039931. The next prime is 244303152040007. The reversal of 244303152040000 is 40251303442.

It is a happy number.

The square root of 244303152040000 is 15630200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 228683836311616 + 15619315728384 = 15122296^2 + 3952128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (244303152040007) 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 44 ways as a sum of consecutive naturals, for example, 96907238740 + ... + 96907241260.

Almost surely, 2^{244303152040000} is an apocalyptic number.

244303152040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

244303152040000 is the 15630200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244303152040000

244303152040000 is an abundant number, since it is smaller than the sum of its proper divisors (381909733108433).

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

244303152040000 is an frugal number, since it uses more digits than its factorization.

244303152040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The spelling of 244303152040000 in words is "two hundred forty-four trillion, three hundred three billion, one hundred fifty-two million, forty thousand".