401341143104 has 84 divisors (see below), whose sum is σ = 883792977648. Its totient is φ = 179334700800.

The previous prime is 401341143103. The next prime is 401341143107.

It is a happy number.

401341143104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401341143104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401341143101) by changing a digit.

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, 2368739 + ... + 2532509.

It is an arithmetic number, because the mean of its divisors is an integer number (10521344972).

Almost surely, 2^401341143104 is an apocalyptic number.

401341143104 is a gapful number since it is divisible by the number (44) 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 401341143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441896488824).

401341143104 is an abundant number, since it is smaller than the sum of its proper divisors (482451834544).

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

401341143104 is a wasteful number, since it uses less digits than its factorization.

401341143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163912 (or 163843 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 401341 and 143104, that added together give a palindrome (544445).

The spelling of 401341143104 in words is "four hundred one billion, three hundred forty-one million, one hundred forty-three thousand, one hundred four".