401213142144 has 192 divisors, whose sum is σ = 1232874489600. Its totient is φ = 124960389120.

The previous prime is 401213142107. The next prime is 401213142199. The reversal of 401213142144 is 441241312104.

401213142144 is a `hidden beast` number, since 401 + 213 + 1 + 4 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 841947 + ... + 1229349.

It is an arithmetic number, because the mean of its divisors is an integer number (6421221300).

Almost surely, 2^401213142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401213142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616437244800).

401213142144 is an abundant number, since it is smaller than the sum of its proper divisors (831661347456).

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

401213142144 is a wasteful number, since it uses less digits than its factorization.

401213142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387483 (or 387468 counting only the distinct ones).

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

Adding to 401213142144 its reverse (441241312104), we get a palindrome (842454454248).

The spelling of 401213142144 in words is "four hundred one billion, two hundred thirteen million, one hundred forty-two thousand, one hundred forty-four".