4422114400 has 144 divisors (see below), whose sum is σ = 11877083568. Its totient is φ = 1607654400.

The previous prime is 4422114391. The next prime is 4422114439. The reversal of 4422114400 is 44112244.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062724 + ... + 1066876.

It is an arithmetic number, because the mean of its divisors is an integer number (82479747).

Almost surely, 2^4422114400 is an apocalyptic number.

4422114400 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 4422114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938541784).

4422114400 is an abundant number, since it is smaller than the sum of its proper divisors (7454969168).

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

4422114400 is a wasteful number, since it uses less digits than its factorization.

4422114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4422114400 is about 66498.9804433121. The cubic root of 4422114400 is about 1641.3832272248.

Adding to 4422114400 its reverse (44112244), we get a palindrome (4466226644).

The spelling of 4422114400 in words is "four billion, four hundred twenty-two million, one hundred fourteen thousand, four hundred".