440995605625 has 45 divisors (see below), whose sum is σ = 558702563419. Its totient is φ = 347975300000.

The previous prime is 440995605601. The next prime is 440995605629. The reversal of 440995605625 is 526506599044.

The square root of 440995605625 is 664075.

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 95171633001 + 345823972624 = 308499^2 + 588068^2 .

It is not a de Polignac number, because 440995605625 - 2⁵ = 440995605593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (440995605629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1676789244 + ... + 1676789506.

Almost surely, 2^440995605625 is an apocalyptic number.

440995605625 is the 664075-th square number.

440995605625 is the 332038-th centered octagonal number.

It is an amenable number.

440995605625 is a deficient number, since it is larger than the sum of its proper divisors (117706957794).

440995605625 is an frugal number, since it uses more digits than its factorization.

440995605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 55.

The spelling of 440995605625 in words is "four hundred forty billion, nine hundred ninety-five million, six hundred five thousand, six hundred twenty-five".