400411320032224 has 96 divisors (see below), whose sum is σ = 866262757973760. Its totient is φ = 181341452160000.

The previous prime is 400411320032219. The next prime is 400411320032239. The reversal of 400411320032224 is 422230023114004.

It is a junction number, because it is equal to n+sod(n) for n = 400411320032192 and 400411320032201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25117804 + ... + 37838164.

It is an arithmetic number, because the mean of its divisors is an integer number (9023570395560).

Almost surely, 2^{400411320032224} 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 400411320032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433131378986880).

400411320032224 is an abundant number, since it is smaller than the sum of its proper divisors (465851437941536).

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

400411320032224 is a wasteful number, since it uses less digits than its factorization.

400411320032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722664 (or 12722656 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 400411320032224 its reverse (422230023114004), we get a palindrome (822641343146228).

The spelling of 400411320032224 in words is "four hundred trillion, four hundred eleven billion, three hundred twenty million, thirty-two thousand, two hundred twenty-four".