414034402224 has 40 divisors (see below), whose sum is σ = 1072411053760. Its totient is φ = 137647315008.

The previous prime is 414034402169. The next prime is 414034402231. The reversal of 414034402224 is 422204430414.

It is a super-2 number, since 2×414034402224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414034402191 and 414034402200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11361382 + ... + 11397765.

It is an arithmetic number, because the mean of its divisors is an integer number (26810276344).

Almost surely, 2^414034402224 is an apocalyptic number.

It is an amenable number.

414034402224 is an abundant number, since it is smaller than the sum of its proper divisors (658376651536).

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

414034402224 is a wasteful number, since it uses less digits than its factorization.

414034402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22759537 (or 22759531 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 414034402224 its reverse (422204430414), we get a palindrome (836238832638).

The spelling of 414034402224 in words is "four hundred fourteen billion, thirty-four million, four hundred two thousand, two hundred twenty-four".