4414194400 has 432 divisors, whose sum is σ = 14186748240. Its totient is φ = 1324646400.

The previous prime is 4414194397. The next prime is 4414194401. The reversal of 4414194400 is 44914144.

It is a super-2 number, since 2×4414194400² = 38970224401982720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414194401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12504624 + ... + 12504976.

It is an arithmetic number, because the mean of its divisors is an integer number (32839695).

Almost surely, 2^4414194400 is an apocalyptic number.

4414194400 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 4414194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093374120).

4414194400 is an abundant number, since it is smaller than the sum of its proper divisors (9772553840).

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

4414194400 is a wasteful number, since it uses less digits than its factorization.

4414194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4414194400 is about 66439.4039708365. The cubic root of 4414194400 is about 1640.4027367051.

The spelling of 4414194400 in words is "four billion, four hundred fourteen million, one hundred ninety-four thousand, four hundred".