417405124608 has 480 divisors, whose sum is σ = 1265148025344. Its totient is φ = 121664176128.

The previous prime is 417405124589. The next prime is 417405124613. The reversal of 417405124608 is 806421504714.

It is a self number, because there is not a number n which added to its sum of digits gives 417405124608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711081691 + ... + 711082277.

Almost surely, 2^417405124608 is an apocalyptic number.

417405124608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417405124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632574012672).

417405124608 is an abundant number, since it is smaller than the sum of its proper divisors (847742900736).

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

417405124608 is a wasteful number, since it uses less digits than its factorization.

417405124608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 417405124608 in words is "four hundred seventeen billion, four hundred five million, one hundred twenty-four thousand, six hundred eight".