414434041400004 has 48 divisors (see below), whose sum is σ = 968258136265728. Its totient is φ = 137966842466208.

The previous prime is 414434041400003. The next prime is 414434041400039. The reversal of 414434041400004 is 400004140434414.

It is a super-2 number, since 2×414434041400004² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414434041400003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41276697 + ... + 50325279.

It is an arithmetic number, because the mean of its divisors is an integer number (20172044505536).

Almost surely, 2^{414434041400004} is an apocalyptic number.

It is an amenable number.

414434041400004 is an abundant number, since it is smaller than the sum of its proper divisors (553824094865724).

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

414434041400004 is a wasteful number, since it uses less digits than its factorization.

414434041400004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053504 (or 9053502 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 414434041400004 its reverse (400004140434414), we get a palindrome (814438181834418).

The spelling of 414434041400004 in words is "four hundred fourteen trillion, four hundred thirty-four billion, forty-one million, four hundred thousand, four".