401132240344400 has 60 divisors (see below), whose sum is σ = 989766699556572. Its totient is φ = 156116331371520.

The previous prime is 401132240344369. The next prime is 401132240344441. The reversal of 401132240344400 is 4443042231104.

It can be written as a sum of positive squares in 6 ways, for example, as 1144720247056 + 399987520097344 = 1069916^2 + 19999688^2 .

It is a super-2 number, since 2×401132240344400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13551750077 + ... + 13551779676.

Almost surely, 2^{401132240344400} is an apocalyptic number.

401132240344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401132240344400 is an abundant number, since it is smaller than the sum of its proper divisors (588634459212172).

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

401132240344400 is a wasteful number, since it uses less digits than its factorization.

401132240344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27103529808 (or 27103529797 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 401132240344400 its reverse (4443042231104), we get a palindrome (405575282575504).

The spelling of 401132240344400 in words is "four hundred one trillion, one hundred thirty-two billion, two hundred forty million, three hundred forty-four thousand, four hundred".