408005111808 has 624 divisors, whose sum is σ = 1397384075776. Its totient is φ = 112272998400.

The previous prime is 408005111797. The next prime is 408005111827. The reversal of 408005111808 is 808111500804.

It is a happy number.

It is a super-2 number, since 2×408005111808² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441714035 + ... + 1441714317.

Almost surely, 2^408005111808 is an apocalyptic number.

408005111808 is a gapful number since it is divisible by the number (48) 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 408005111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698692037888).

408005111808 is an abundant number, since it is smaller than the sum of its proper divisors (989378963968).

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

408005111808 is a wasteful number, since it uses less digits than its factorization.

408005111808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 408005111808 in words is "four hundred eight billion, five million, one hundred eleven thousand, eight hundred eight".