400016567808 has 960 divisors, whose sum is σ = 1422848306880. Its totient is φ = 107409899520.

The previous prime is 400016567807. The next prime is 400016567813. The reversal of 400016567808 is 808765610004.

It is a happy number.

400016567808 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 1 + 6 + 567 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400016567807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2312234410 + ... + 2312234582.

It is an arithmetic number, because the mean of its divisors is an integer number (1482133653).

Almost surely, 2^400016567808 is an apocalyptic number.

400016567808 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 400016567808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711424153440).

400016567808 is an abundant number, since it is smaller than the sum of its proper divisors (1022831739072).

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

400016567808 is a wasteful number, since it uses less digits than its factorization.

400016567808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 400016567808 in words is "four hundred billion, sixteen million, five hundred sixty-seven thousand, eight hundred eight".