414040014220 has 96 divisors (see below), whose sum is σ = 1035991047168. Its totient is φ = 136039018752.

The previous prime is 414040014197. The next prime is 414040014229. The reversal of 414040014220 is 22410040414.

It is a junction number, because it is equal to n+sod(n) for n = 414040014191 and 414040014200.

It is not an unprimeable number, because it can be changed into a prime (414040014229) 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 31 ways as a sum of consecutive naturals, for example, 329784 + ... + 967903.

It is an arithmetic number, because the mean of its divisors is an integer number (10791573408).

Almost surely, 2^414040014220 is an apocalyptic number.

It is an amenable number.

414040014220 is an abundant number, since it is smaller than the sum of its proper divisors (621951032948).

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

414040014220 is a wasteful number, since it uses less digits than its factorization.

414040014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297799 (or 1297797 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 414040014220 its reverse (22410040414), we get a palindrome (436450054634).

The spelling of 414040014220 in words is "four hundred fourteen billion, forty million, fourteen thousand, two hundred twenty".