4134420244314 has 192 divisors, whose sum is σ = 9933763196448. Its totient is φ = 1237265203200.

The previous prime is 4134420244303. The next prime is 4134420244363.

4134420244314 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 4 + 202 + 443 + 1 + 4 = 666.

4134420244314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 2715188815089 + 1419231429225 = 1647783^2 + 1191315^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194816224 + ... + 194837444.

Almost surely, 2^{4134420244314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134420244314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966881598224).

4134420244314 is an abundant number, since it is smaller than the sum of its proper divisors (5799342952134).

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

4134420244314 is a wasteful number, since it uses less digits than its factorization.

4134420244314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21633 (or 21630 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4134420 and 244314, that added together give a palindrome (4378734).

The spelling of 4134420244314 in words is "four trillion, one hundred thirty-four billion, four hundred twenty million, two hundred forty-four thousand, three hundred fourteen".