408516206112 has 480 divisors, whose sum is σ = 1434665675520. Its totient is φ = 111563827200.

The previous prime is 408516206101. The next prime is 408516206159. The reversal of 408516206112 is 211602615804.

It is a happy number.

408516206112 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 16 + 20 + 611 + 2 = 666.

It is a super-2 number, since 2×408516206112² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53139933 + ... + 53147619.

It is an arithmetic number, because the mean of its divisors is an integer number (2988886824).

Almost surely, 2^408516206112 is an apocalyptic number.

408516206112 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 408516206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717332837760).

408516206112 is an abundant number, since it is smaller than the sum of its proper divisors (1026149469408).

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

408516206112 is a wasteful number, since it uses less digits than its factorization.

408516206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 408516206112 in words is "four hundred eight billion, five hundred sixteen million, two hundred six thousand, one hundred twelve".