4406050211400 has 288 divisors, whose sum is σ = 15761231216640. Its totient is φ = 1099209185280.

The previous prime is 4406050211399. The next prime is 4406050211447. The reversal of 4406050211400 is 41120506044.

4406050211400 is a `hidden beast` number, since 4 + 4 + 0 + 605 + 0 + 2 + 11 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4679097 + ... + 5541303.

It is an arithmetic number, because the mean of its divisors is an integer number (54726497280).

Almost surely, 2^{4406050211400} is an apocalyptic number.

4406050211400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4406050211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880615608320).

4406050211400 is an abundant number, since it is smaller than the sum of its proper divisors (11355181005240).

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

4406050211400 is a wasteful number, since it uses less digits than its factorization.

4406050211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862413 (or 862401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4406050211400 its reverse (41120506044), we get a palindrome (4447170717444).

The spelling of 4406050211400 in words is "four trillion, four hundred six billion, fifty million, two hundred eleven thousand, four hundred".