414334410021 has 96 divisors (see below), whose sum is σ = 721094400000. Its totient is φ = 224244284544.

The previous prime is 414334410013. The next prime is 414334410029. The reversal of 414334410021 is 120014433414.

It is an interprime number because it is at equal distance from previous prime (414334410013) and next prime (414334410029).

It is not a de Polignac number, because 414334410021 - 2³ = 414334410013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414334410029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53784856 + ... + 53792558.

It is an arithmetic number, because the mean of its divisors is an integer number (7511400000).

Almost surely, 2^414334410021 is an apocalyptic number.

It is an amenable number.

414334410021 is a deficient number, since it is larger than the sum of its proper divisors (306759989979).

414334410021 is a wasteful number, since it uses less digits than its factorization.

414334410021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414334410021 its reverse (120014433414), we get a palindrome (534348843435).

The spelling of 414334410021 in words is "four hundred fourteen billion, three hundred thirty-four million, four hundred ten thousand, twenty-one".