401211342144 has 84 divisors (see below), whose sum is σ = 1150101122196. Its totient is φ = 133725339648.

The previous prime is 401211342121. The next prime is 401211342157. The reversal of 401211342144 is 441243112104.

401211342144 is a `hidden beast` number, since 401 + 2 + 11 + 34 + 214 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 282930375744 + 118280966400 = 531912^2 + 343920^2 .

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 11 ways as a sum of consecutive naturals, for example, 8647392 + ... + 8693664.

Almost surely, 2^401211342144 is an apocalyptic number.

It is an amenable number.

401211342144 is an abundant number, since it is smaller than the sum of its proper divisors (748889780052).

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

401211342144 is a wasteful number, since it uses less digits than its factorization.

401211342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61344 (or 61331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 401211342144 its reverse (441243112104), we get a palindrome (842454454248).

The spelling of 401211342144 in words is "four hundred one billion, two hundred eleven million, three hundred forty-two thousand, one hundred forty-four".