4022224000400 has 240 divisors, whose sum is σ = 9971379790848. Its totient is φ = 1558221312000.

The previous prime is 4022224000351. The next prime is 4022224000409. The reversal of 4022224000400 is 40004222204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4022224000409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2014132202 + ... + 2014134198.

Almost surely, 2^{4022224000400} is an apocalyptic number.

4022224000400 is a gapful number since it is divisible by the number (40) 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 4022224000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985689895424).

4022224000400 is an abundant number, since it is smaller than the sum of its proper divisors (5949155790448).

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

4022224000400 is a wasteful number, since it uses less digits than its factorization.

4022224000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4022224000400 its reverse (40004222204), we get a palindrome (4062228222604).

The spelling of 4022224000400 in words is "four trillion, twenty-two billion, two hundred twenty-four million, four hundred", and thus it is an aban number.