400224451103224 has 128 divisors (see below), whose sum is σ = 839526944256000. Its totient is φ = 177332933065600.

The previous prime is 400224451103203. The next prime is 400224451103231. The reversal of 400224451103224 is 422301154422004.

It is a super-2 number, since 2×400224451103224² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400224451103224.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 872405697 + ... + 872864335.

It is an arithmetic number, because the mean of its divisors is an integer number (6558804252000).

Almost surely, 2^{400224451103224} is an apocalyptic number.

400224451103224 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 400224451103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419763472128000).

400224451103224 is an abundant number, since it is smaller than the sum of its proper divisors (439302493152776).

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

400224451103224 is a wasteful number, since it uses less digits than its factorization.

400224451103224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460129 (or 460125 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 400224451103224 in words is "four hundred trillion, two hundred twenty-four billion, four hundred fifty-one million, one hundred three thousand, two hundred twenty-four".