400411144110224 has 80 divisors (see below), whose sum is σ = 844874265054960. Its totient is φ = 182725724037120.

The previous prime is 400411144110127. The next prime is 400411144110277. The reversal of 400411144110224 is 422011441114004.

It can be written as a sum of positive squares in 8 ways, for example, as 21651041812624 + 378760102297600 = 4653068^2 + 19461760^2 .

It is a super-2 number, since 2×400411144110224² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1483435244 + ... + 1483705140.

It is an arithmetic number, because the mean of its divisors is an integer number (10560928313187).

Almost surely, 2^{400411144110224} is an apocalyptic number.

It is an amenable number.

400411144110224 is an abundant number, since it is smaller than the sum of its proper divisors (444463120944736).

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

400411144110224 is a wasteful number, since it uses less digits than its factorization.

400411144110224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350148 (or 350142 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 400411144110224 its reverse (422011441114004), we get a palindrome (822422585224228).

The spelling of 400411144110224 in words is "four hundred trillion, four hundred eleven billion, one hundred forty-four million, one hundred ten thousand, two hundred twenty-four".