417243651136 has 63 divisors (see below), whose sum is σ = 896701297653. Its totient is φ = 192542987520.

The previous prime is 417243651133. The next prime is 417243651151. The reversal of 417243651136 is 631156342714.

It is a happy number.

The square root of 417243651136 is 645944.

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

It can be written as a sum of positive squares in only one way, i.e., 61722433600 + 355521217536 = 248440^2 + 596256^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 417243651092 and 417243651101.

It is not an unprimeable number, because it can be changed into a prime (417243651133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67175071 + ... + 67181281.

It is an arithmetic number, because the mean of its divisors is an integer number (14233353931).

Almost surely, 2^417243651136 is an apocalyptic number.

417243651136 is the 645944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417243651136

417243651136 is an abundant number, since it is smaller than the sum of its proper divisors (479457646517).

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

417243651136 is an frugal number, since it uses more digits than its factorization.

417243651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12460 (or 6226 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The spelling of 417243651136 in words is "four hundred seventeen billion, two hundred forty-three million, six hundred fifty-one thousand, one hundred thirty-six".