408096907198464 has 504 divisors, whose sum is σ = 1203979590034480. Its totient is φ = 122860056084480.

The previous prime is 408096907198459. The next prime is 408096907198507. The reversal of 408096907198464 is 464891709690804.

It is a super-3 number, since 3×408096907198464³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59759391402 + ... + 59759398230.

Almost surely, 2^{408096907198464} is an apocalyptic number.

408096907198464 is a gapful number since it is divisible by the number (44) 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 408096907198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601989795017240).

408096907198464 is an abundant number, since it is smaller than the sum of its proper divisors (795882682836016).

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

408096907198464 is an frugal number, since it uses more digits than its factorization.

408096907198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 75.

The spelling of 408096907198464 in words is "four hundred eight trillion, ninety-six billion, nine hundred seven million, one hundred ninety-eight thousand, four hundred sixty-four".