414400434014 has 32 divisors (see below), whose sum is σ = 718753810176. Its totient is φ = 175520983680.

The previous prime is 414400433987. The next prime is 414400434029. The reversal of 414400434014 is 410434004414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171509 + ... + 926399.

It is an arithmetic number, because the mean of its divisors is an integer number (22461056568).

Almost surely, 2^414400434014 is an apocalyptic number.

414400434014 is a deficient number, since it is larger than the sum of its proper divisors (304353376162).

414400434014 is a wasteful number, since it uses less digits than its factorization.

414400434014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755360.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 414400434014 its reverse (410434004414), we get a palindrome (824834438428).

The spelling of 414400434014 in words is "four hundred fourteen billion, four hundred million, four hundred thirty-four thousand, fourteen".