408821124583872 has 4032 divisors, whose sum is σ = 1749920918215680. Its totient is φ = 91026945884160.

The previous prime is 408821124583801. The next prime is 408821124583901. The reversal of 408821124583872 is 278385421128804.

408821124583872 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 2 + 1 + 1 + 245 + 8 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 364043743503 + ... + 364043744625.

It is an arithmetic number, because the mean of its divisors is an integer number (434008164240).

Almost surely, 2^{408821124583872} is an apocalyptic number.

408821124583872 is a gapful number since it is divisible by the number (42) 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 408821124583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874960459107840).

408821124583872 is an abundant number, since it is smaller than the sum of its proper divisors (1341099793631808).

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

408821124583872 is a wasteful number, since it uses less digits than its factorization.

408821124583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 408821124583872 in words is "four hundred eight trillion, eight hundred twenty-one billion, one hundred twenty-four million, five hundred eighty-three thousand, eight hundred seventy-two".