414421505124414 has 64 divisors (see below), whose sum is σ = 862032734112000. Its totient is φ = 132714347512320.

The previous prime is 414421505124391. The next prime is 414421505124421.

414421505124414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226818214 + ... + 2227004310.

It is an arithmetic number, because the mean of its divisors is an integer number (13469261470500).

Almost surely, 2^{414421505124414} is an apocalyptic number.

414421505124414 is an abundant number, since it is smaller than the sum of its proper divisors (447611228987586).

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

414421505124414 is a wasteful number, since it uses less digits than its factorization.

414421505124414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327705.

The product of its (nonzero) digits is 409600, while the sum is 42.

It can be divided in two parts, 41442150 and 5124414, that added together give a palindrome (46566564).

The spelling of 414421505124414 in words is "four hundred fourteen trillion, four hundred twenty-one billion, five hundred five million, one hundred twenty-four thousand, four hundred fourteen".