417681481728 has 336 divisors, whose sum is σ = 1304733731904. Its totient is φ = 118495641600.

The previous prime is 417681481697. The next prime is 417681481781. The reversal of 417681481728 is 827184186714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181836676 + ... + 181838972.

Almost surely, 2^417681481728 is an apocalyptic number.

417681481728 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 417681481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652366865952).

417681481728 is an abundant number, since it is smaller than the sum of its proper divisors (887052250176).

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

417681481728 is a wasteful number, since it uses less digits than its factorization.

417681481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2460 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 57.

The spelling of 417681481728 in words is "four hundred seventeen billion, six hundred eighty-one million, four hundred eighty-one thousand, seven hundred twenty-eight".