400340828160 has 2160 divisors, whose sum is σ = 1885831549056. Its totient is φ = 79498838016.

The previous prime is 400340828159. The next prime is 400340828179. The reversal of 400340828160 is 61828043004.

400340828160 is a `hidden beast` number, since 400 + 3 + 40 + 82 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23549460472 + ... + 23549460488.

Almost surely, 2^400340828160 is an apocalyptic number.

400340828160 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 400340828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942915774528).

400340828160 is an abundant number, since it is smaller than the sum of its proper divisors (1485490720896).

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

400340828160 is an equidigital number, since it uses as much as digits as its factorization.

400340828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 400340828160 in words is "four hundred billion, three hundred forty million, eight hundred twenty-eight thousand, one hundred sixty".