408826660432320 has 2688 divisors, whose sum is σ = 1631278843729920. Its totient is φ = 96270194442240.

The previous prime is 408826660432319. The next prime is 408826660432357. The reversal of 408826660432320 is 23234066628804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1306155464484 + ... + 1306155464796.

It is an arithmetic number, because the mean of its divisors is an integer number (606874569840).

Almost surely, 2^{408826660432320} is an apocalyptic number.

408826660432320 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 408826660432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815639421864960).

408826660432320 is an abundant number, since it is smaller than the sum of its proper divisors (1222452183297600).

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

408826660432320 is a wasteful number, since it uses less digits than its factorization.

408826660432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 408826660432320 in words is "four hundred eight trillion, eight hundred twenty-six billion, six hundred sixty million, four hundred thirty-two thousand, three hundred twenty".