417496171488 has 192 divisors, whose sum is σ = 1248307200000. Its totient is φ = 120938780160.

The previous prime is 417496171487. The next prime is 417496171531. The reversal of 417496171488 is 884171694714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417496171487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48547413 + ... + 48556011.

It is an arithmetic number, because the mean of its divisors is an integer number (6501600000).

Almost surely, 2^417496171488 is an apocalyptic number.

417496171488 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 417496171488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624153600000).

417496171488 is an abundant number, since it is smaller than the sum of its proper divisors (830811028512).

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

417496171488 is a wasteful number, since it uses less digits than its factorization.

417496171488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10637 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The spelling of 417496171488 in words is "four hundred seventeen billion, four hundred ninety-six million, one hundred seventy-one thousand, four hundred eighty-eight".