400111241344 has 64 divisors (see below), whose sum is σ = 832071968640. Its totient is φ = 191284166656.

The previous prime is 400111241333. The next prime is 400111241351. The reversal of 400111241344 is 443142111004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×400111241344² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8080149 + ... + 8129515.

It is an arithmetic number, because the mean of its divisors is an integer number (13001124510).

Almost surely, 2^400111241344 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 400111241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416035984320).

400111241344 is an abundant number, since it is smaller than the sum of its proper divisors (431960727296).

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

400111241344 is a wasteful number, since it uses less digits than its factorization.

400111241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52157 (or 52145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 400111241344 its reverse (443142111004), we get a palindrome (843253352348).

The spelling of 400111241344 in words is "four hundred billion, one hundred eleven million, two hundred forty-one thousand, three hundred forty-four".