44224400442244 has 144 divisors (see below), whose sum is σ = 98368958882880. Its totient is φ = 17144467845120.

The previous prime is 44224400442239. The next prime is 44224400442251.

44224400442244 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44224400442197 and 44224400442206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4576972 + ... + 10459324.

It is an arithmetic number, because the mean of its divisors is an integer number (683117770020).

Almost surely, 2^{44224400442244} is an apocalyptic number.

44224400442244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44224400442244 is an abundant number, since it is smaller than the sum of its proper divisors (54144558440636).

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

44224400442244 is a wasteful number, since it uses less digits than its factorization.

44224400442244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882450 (or 5882425 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

It can be divided in two parts, 44224400 and 442244, that multiplied together give a square (19557975553600 = 4422440²).

The spelling of 44224400442244 in words is "forty-four trillion, two hundred twenty-four billion, four hundred million, four hundred forty-two thousand, two hundred forty-four".