4406472705600 has 2205 divisors, whose sum is σ = 20073525911923. Its totient is φ = 947947069440.

The previous prime is 4406472705571. The next prime is 4406472705629. The reversal of 4406472705600 is 65072746044.

The square root of 4406472705600 is 2099160.

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

4406472705600 is a `hidden beast` number, since 4 + 4 + 0 + 64 + 7 + 27 + 0 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4406472705571) and next prime (4406472705629).

It can be written as a sum of positive squares in 4 ways, for example, as 103071818304 + 4303400887296 = 321048^2 + 2074464^2 .

It is a tau number, because it is divible by the number of its divisors (2205).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a zygodrome in base 14.

It is an unprimeable number.

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 314 ways as a sum of consecutive naturals, for example, 259204276792 + ... + 259204276808.

Almost surely, 2^{4406472705600} is an apocalyptic number.

4406472705600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4406472705600 is the 2099160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4406472705600

4406472705600 is an abundant number, since it is smaller than the sum of its proper divisors (15667053206323).

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

4406472705600 is an frugal number, since it uses more digits than its factorization.

4406472705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4406472705600 in words is "four trillion, four hundred six billion, four hundred seventy-two million, seven hundred five thousand, six hundred".