4406321748100 has 36 divisors (see below), whose sum is σ = 9562459190004. Its totient is φ = 1762392110080.

The previous prime is 4406321748089. The next prime is 4406321748131. The reversal of 4406321748100 is 18471236044.

It can be written as a sum of positive squares in 6 ways, for example, as 971852902276 + 3434468845824 = 985826^2 + 1853232^2 .

It is a super-2 number, since 2×4406321748100² (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 405589 + ... + 2996188.

It is an arithmetic number, because the mean of its divisors is an integer number (265623866389).

Almost surely, 2^{4406321748100} is an apocalyptic number.

It is an amenable number.

4406321748100 is an abundant number, since it is smaller than the sum of its proper divisors (5156137441904).

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

4406321748100 is a wasteful number, since it uses less digits than its factorization.

4406321748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414744 (or 3414737 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 4406321748100 in words is "four trillion, four hundred six billion, three hundred twenty-one million, seven hundred forty-eight thousand, one hundred".