4214344401 has 24 divisors (see below), whose sum is σ = 6121457160. Its totient is φ = 2793885696.

The previous prime is 4214344397. The next prime is 4214344403. The reversal of 4214344401 is 1044434124.

4214344401 is a `hidden beast` number, since 4 + 214 + 3 + 4 + 440 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 4185443025 = 5376^2 + 64695^2 .

It is not a de Polignac number, because 4214344401 - 2² = 4214344397 is a prime.

It is a super-3 number, since 3×4214344401³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4214344403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311685 + ... + 1314893.

It is an arithmetic number, because the mean of its divisors is an integer number (255060715).

Almost surely, 2^4214344401 is an apocalyptic number.

It is an amenable number.

4214344401 is a deficient number, since it is larger than the sum of its proper divisors (1907112759).

4214344401 is a wasteful number, since it uses less digits than its factorization.

4214344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4214344401 is about 64917.9821081956. The cubic root of 4214344401 is about 1615.2633578960.

Adding to 4214344401 its reverse (1044434124), we get a palindrome (5258778525).

The spelling of 4214344401 in words is "four billion, two hundred fourteen million, three hundred forty-four thousand, four hundred one".