400338668208 has 160 divisors (see below), whose sum is σ = 1104604300800. Its totient is φ = 124502077440.

The previous prime is 400338668203. The next prime is 400338668209. The reversal of 400338668208 is 802866833004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (400338668203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149546166 + ... + 149548842.

It is an arithmetic number, because the mean of its divisors is an integer number (6903776880).

Almost surely, 2^400338668208 is an apocalyptic number.

400338668208 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 400338668208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552302150400).

400338668208 is an abundant number, since it is smaller than the sum of its proper divisors (704265632592).

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

400338668208 is a wasteful number, since it uses less digits than its factorization.

400338668208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 400338668208 in words is "four hundred billion, three hundred thirty-eight million, six hundred sixty-eight thousand, two hundred eight".