4022234331400 has 96 divisors (see below), whose sum is σ = 9529774821000. Its totient is φ = 1578266726400.

The previous prime is 4022234331281. The next prime is 4022234331407. The reversal of 4022234331400 is 41334322204.

It can be written as a sum of positive squares in 12 ways, for example, as 1243952086276 + 2778282245124 = 1115326^2 + 1666818^2 .

It is not an unprimeable number, because it can be changed into a prime (4022234331407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68669326 + ... + 68727874.

Almost surely, 2^{4022234331400} is an apocalyptic number.

4022234331400 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 4022234331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764887410500).

4022234331400 is an abundant number, since it is smaller than the sum of its proper divisors (5507540489600).

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

4022234331400 is a wasteful number, since it uses less digits than its factorization.

4022234331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65099 (or 65090 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4022234331400 its reverse (41334322204), we get a palindrome (4063568653604).

The spelling of 4022234331400 in words is "four trillion, twenty-two billion, two hundred thirty-four million, three hundred thirty-one thousand, four hundred".