4214400409 has 2 divisors, whose sum is σ = 4214400410. Its totient is φ = 4214400408.

The previous prime is 4214400401. The next prime is 4214400451. The reversal of 4214400409 is 9040044124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2184627600 + 2029772809 = 46740^2 + 45053^2 .

It is a cyclic number.

It is not a de Polignac number, because 4214400409 - 2³ = 4214400401 is a prime.

It is a super-2 number, since 2×4214400409² = 35522341614758734562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4214400401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2107200204 + 2107200205.

It is an arithmetic number, because the mean of its divisors is an integer number (2107200205).

Almost surely, 2^4214400409 is an apocalyptic number.

It is an amenable number.

4214400409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4214400409 is an equidigital number, since it uses as much as digits as its factorization.

4214400409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4214400409 is about 64918.4134818466. The cubic root of 4214400409 is about 1615.2705133996.

It can be divided in two parts, 4214400 and 409, that added together give a square (4214809 = 2053²).

The spelling of 4214400409 in words is "four billion, two hundred fourteen million, four hundred thousand, four hundred nine".