414453404354414 has 16 divisors (see below), whose sum is σ = 648088108511616. Its totient is φ = 198556405788000.

The previous prime is 414453404354393. The next prime is 414453404354443.

414453404354414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414453404354414² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33092728037 + ... + 33092740560.

It is an arithmetic number, because the mean of its divisors is an integer number (40505506781976).

Almost surely, 2^{414453404354414} is an apocalyptic number.

414453404354414 is a deficient number, since it is larger than the sum of its proper divisors (233634704157202).

414453404354414 is a wasteful number, since it uses less digits than its factorization.

414453404354414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66185468731.

The product of its (nonzero) digits is 14745600, while the sum is 50.

It can be divided in two parts, 41445340 and 4354414, that added together give a palindrome (45799754).

The spelling of 414453404354414 in words is "four hundred fourteen trillion, four hundred fifty-three billion, four hundred four million, three hundred fifty-four thousand, four hundred fourteen".