401343348800 has 84 divisors (see below), whose sum is σ = 989223171156. Its totient is φ = 160266240000.

The previous prime is 401343348779. The next prime is 401343348803. The reversal of 401343348800 is 8843343104.

It can be written as a sum of positive squares in 6 ways, for example, as 3061187584 + 398282161216 = 55328^2 + 631096^2 .

It is a super-2 number, since 2×401343348800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401343348803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737300 + ... + 1160300.

Almost surely, 2^401343348800 is an apocalyptic number.

401343348800 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 401343348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494611585578).

401343348800 is an abundant number, since it is smaller than the sum of its proper divisors (587879822356).

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

401343348800 is a wasteful number, since it uses less digits than its factorization.

401343348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423616 (or 423601 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 401343348800 in words is "four hundred one billion, three hundred forty-three million, three hundred forty-eight thousand, eight hundred".