414000004021 has 8 divisors (see below), whose sum is σ = 439849035864. Its totient is φ = 388317204480.

The previous prime is 414000003983. The next prime is 414000004051. The reversal of 414000004021 is 120400000414.

It can be written as a sum of positive squares in 4 ways, for example, as 238681102500 + 175318901521 = 488550^2 + 418711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414000004021 - 2⁹ = 414000003509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414000003986 and 414000004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414000004051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41552940 + ... + 41562901.

It is an arithmetic number, because the mean of its divisors is an integer number (54981129483).

Almost surely, 2^414000004021 is an apocalyptic number.

It is an amenable number.

414000004021 is a deficient number, since it is larger than the sum of its proper divisors (25849031843).

414000004021 is a wasteful number, since it uses less digits than its factorization.

414000004021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83116151.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 414000004021 its reverse (120400000414), we get a palindrome (534400004435).

The spelling of 414000004021 in words is "four hundred fourteen billion, four thousand, twenty-one".