4406404665400 has 24 divisors (see below), whose sum is σ = 10244890847520. Its totient is φ = 1762561866080.

The previous prime is 4406404665389. The next prime is 4406404665407. The reversal of 4406404665400 is 45664046044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406404665407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11016011464 + ... + 11016011863.

It is an arithmetic number, because the mean of its divisors is an integer number (426870451980).

Almost surely, 2^{4406404665400} is an apocalyptic number.

4406404665400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4406404665400 is an abundant number, since it is smaller than the sum of its proper divisors (5838486182120).

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

4406404665400 is a wasteful number, since it uses less digits than its factorization.

4406404665400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032023343 (or 22032023334 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 4406404665400 in words is "four trillion, four hundred six billion, four hundred four million, six hundred sixty-five thousand, four hundred".