414226630656 has 288 divisors, whose sum is σ = 1237859400960. Its totient is φ = 133307596800.

The previous prime is 414226630627. The next prime is 414226630667. The reversal of 414226630656 is 656036622414.

It is a happy number.

414226630656 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 2 + 6 + 630 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469112391 + ... + 469113273.

It is an arithmetic number, because the mean of its divisors is an integer number (4298122920).

Almost surely, 2^414226630656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414226630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618929700480).

414226630656 is an abundant number, since it is smaller than the sum of its proper divisors (823632770304).

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

414226630656 is a wasteful number, since it uses less digits than its factorization.

414226630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 414226630656 in words is "four hundred fourteen billion, two hundred twenty-six million, six hundred thirty thousand, six hundred fifty-six".