400224544344 has 128 divisors (see below), whose sum is σ = 1130602636800. Its totient is φ = 131146542720.

The previous prime is 400224544337. The next prime is 400224544361. The reversal of 400224544344 is 443445422004.

400224544344 is a `hidden beast` number, since 40 + 0 + 224 + 54 + 4 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400224544299 and 400224544308.

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 31 ways as a sum of consecutive naturals, for example, 26173069 + ... + 26188355.

It is an arithmetic number, because the mean of its divisors is an integer number (8832833100).

Almost surely, 2^400224544344 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 400224544344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565301318400).

400224544344 is an abundant number, since it is smaller than the sum of its proper divisors (730378092456).

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

400224544344 is a wasteful number, since it uses less digits than its factorization.

400224544344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 400224544344 its reverse (443445422004), we get a palindrome (843669966348).

The spelling of 400224544344 in words is "four hundred billion, two hundred twenty-four million, five hundred forty-four thousand, three hundred forty-four".