400000808960 has 192 divisors, whose sum is σ = 1011879086400. Its totient is φ = 151457366016.

The previous prime is 400000808953. The next prime is 400000809007. The reversal of 400000808960 is 69808000004.

It is a self number, because there is not a number n which added to its sum of digits gives 400000808960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22836686 + ... + 22854194.

It is an arithmetic number, because the mean of its divisors is an integer number (5270203575).

Almost surely, 2^400000808960 is an apocalyptic number.

400000808960 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 400000808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505939543200).

400000808960 is an abundant number, since it is smaller than the sum of its proper divisors (611878277440).

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

400000808960 is a wasteful number, since it uses less digits than its factorization.

400000808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17656 (or 17636 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

Adding to 400000808960 its reverse (69808000004), we get a palindrome (469808808964).

The spelling of 400000808960 in words is "four hundred billion, eight hundred eight thousand, nine hundred sixty".