4004429225449 has 9 divisors (see below), whose sum is σ = 4025888850711. Its totient is φ = 3983083417080.

The previous prime is 4004429225429. The next prime is 4004429225479. The reversal of 4004429225449 is 9445229244004.

The square root of 4004429225449 is 2001107.

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., 3037613265625 + 966815959824 = 1742875^2 + 983268^2 .

It is not a de Polignac number, because 4004429225449 - 2¹¹ = 4004429223401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004429225429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 382206199 + ... + 382216675.

Almost surely, 2^{4004429225449} is an apocalyptic number.

4004429225449 is the 2001107-th square number.

4004429225449 is the 1000554-th centered octagonal number.

It is an amenable number.

4004429225449 is a deficient number, since it is larger than the sum of its proper divisors (21459625262).

4004429225449 is an frugal number, since it uses more digits than its factorization.

4004429225449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21336 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 4004429225449 by its sum of digits (49), we get a square (196217032047001 = 14007749²).

The spelling of 4004429225449 in words is "four trillion, four billion, four hundred twenty-nine million, two hundred twenty-five thousand, four hundred forty-nine".