401704000320 has 224 divisors, whose sum is σ = 1507874860800. Its totient is φ = 88651874304.

The previous prime is 401704000307. The next prime is 401704000351. The reversal of 401704000320 is 23000407104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×401704000320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835765 + ... + 1225524.

It is an arithmetic number, because the mean of its divisors is an integer number (6731584200).

Almost surely, 2^401704000320 is an apocalyptic number.

401704000320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401704000320 is an abundant number, since it is smaller than the sum of its proper divisors (1106170860480).

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

401704000320 is a wasteful number, since it uses less digits than its factorization.

401704000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061345 (or 2061335 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 401704000320 its reverse (23000407104), we get a palindrome (424704407424).

The spelling of 401704000320 in words is "four hundred one billion, seven hundred four million, three hundred twenty", and thus it is an aban number.