400422224004 has 96 divisors (see below), whose sum is σ = 1038945761280. Its totient is φ = 119005699200.

The previous prime is 400422223951. The next prime is 400422224011.

400422224004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3296982 + ... + 3416274.

It is an arithmetic number, because the mean of its divisors is an integer number (10822351680).

Almost surely, 2^400422224004 is an apocalyptic number.

400422224004 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 400422224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519472880640).

400422224004 is an abundant number, since it is smaller than the sum of its proper divisors (638523537276).

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

400422224004 is a wasteful number, since it uses less digits than its factorization.

400422224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119801 (or 119799 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 400422 and 224004, that added together give a palindrome (624426).

The spelling of 400422224004 in words is "four hundred billion, four hundred twenty-two million, two hundred twenty-four thousand, four".