408811898880 has 1920 divisors, whose sum is σ = 1887098653440. Its totient is φ = 82174279680.

The previous prime is 408811898867. The next prime is 408811898953. The reversal of 408811898880 is 88898118804.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2363074474 + ... + 2363074646.

It is an arithmetic number, because the mean of its divisors is an integer number (982863882).

Almost surely, 2^408811898880 is an apocalyptic number.

408811898880 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 408811898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943549326720).

408811898880 is an abundant number, since it is smaller than the sum of its proper divisors (1478286754560).

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

408811898880 is a wasteful number, since it uses less digits than its factorization.

408811898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 63.

The spelling of 408811898880 in words is "four hundred eight billion, eight hundred eleven million, eight hundred ninety-eight thousand, eight hundred eighty".