408417168320 has 112 divisors (see below), whose sum is σ = 1112299568640. Its totient is φ = 139925259264.

The previous prime is 408417168307. The next prime is 408417168323. The reversal of 408417168320 is 23861714804.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408417168323) 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, 2995391 + ... + 3128769.

Almost surely, 2^408417168320 is an apocalyptic number.

408417168320 is a gapful number since it is divisible by the number (40) 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 408417168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556149784320).

408417168320 is an abundant number, since it is smaller than the sum of its proper divisors (703882400320).

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

408417168320 is a wasteful number, since it uses less digits than its factorization.

408417168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134770 (or 134760 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 408417168320 in words is "four hundred eight billion, four hundred seventeen million, one hundred sixty-eight thousand, three hundred twenty".