414414062500 has 99 divisors (see below), whose sum is σ = 915417461721. Its totient is φ = 164156250000.

The previous prime is 414414062497. The next prime is 414414062539. The reversal of 414414062500 is 5260414414.

The square root of 414414062500 is 643750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 2383587684 + 412030474816 = 48822^2 + 641896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 4023437449 + ... + 4023437551.

Almost surely, 2^414414062500 is an apocalyptic number.

414414062500 is the 643750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414414062500

414414062500 is an abundant number, since it is smaller than the sum of its proper divisors (501003399221).

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

414414062500 is an frugal number, since it uses more digits than its factorization.

414414062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 414414062500 its reverse (5260414414), we get a palindrome (419674476914).

The spelling of 414414062500 in words is "four hundred fourteen billion, four hundred fourteen million, sixty-two thousand, five hundred".