417912987648 has 224 divisors, whose sum is σ = 1208279016000. Its totient is φ = 127711051776.

The previous prime is 417912987617. The next prime is 417912987649. The reversal of 417912987648 is 846789219714.

It is not an unprimeable number, because it can be changed into a prime (417912987649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47599323 + ... + 47608101.

It is an arithmetic number, because the mean of its divisors is an integer number (5394102750).

Almost surely, 2^417912987648 is an apocalyptic number.

417912987648 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 417912987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604139508000).

417912987648 is an abundant number, since it is smaller than the sum of its proper divisors (790366028352).

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

417912987648 is a wasteful number, since it uses less digits than its factorization.

417912987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8946 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 66.

The spelling of 417912987648 in words is "four hundred seventeen billion, nine hundred twelve million, nine hundred eighty-seven thousand, six hundred forty-eight".