4440156980224 has 297 divisors, whose sum is σ = 10820008058517. Its totient is φ = 1815738236928.

The previous prime is 4440156980221. The next prime is 4440156980239. The reversal of 4440156980224 is 4220896510444.

The square root of 4440156980224 is 2107168.

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., 4057936282624 + 382220697600 = 2014432^2 + 618240^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (4440156980221) 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 26 ways as a sum of consecutive naturals, for example, 10856129332 + ... + 10856129740.

Almost surely, 2^{4440156980224} is an apocalyptic number.

4440156980224 is the 2107168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440156980224

4440156980224 is an abundant number, since it is smaller than the sum of its proper divisors (6379851078293).

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

4440156980224 is an frugal number, since it uses more digits than its factorization.

4440156980224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 4440156980224 by its sum of digits (49), we get a square (217567692030976 = 14750176²).

4440156980224 divided by its sum of digits (49) gives a square (90615448576 = 301024²).

The spelling of 4440156980224 in words is "four trillion, four hundred forty billion, one hundred fifty-six million, nine hundred eighty thousand, two hundred twenty-four".