4422038400 has 768 divisors, whose sum is σ = 18132172800. Its totient is φ = 1045094400.

The previous prime is 4422038347. The next prime is 4422038441. The reversal of 4422038400 is 48302244.

It is a happy number.

4422038400 is a `hidden beast` number, since 4 + 4 + 220 + 38 + 400 = 666.

It is a super-2 number, since 2×4422038400² = 39108847222149120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34819137 + ... + 34819263.

It is an arithmetic number, because the mean of its divisors is an integer number (23609600).

Almost surely, 2^4422038400 is an apocalyptic number.

4422038400 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 4422038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066086400).

4422038400 is an abundant number, since it is smaller than the sum of its proper divisors (13710134400).

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

4422038400 is a wasteful number, since it uses less digits than its factorization.

4422038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4422038400 is about 66498.4090035243. The cubic root of 4422038400 is about 1641.3738240427.

The spelling of 4422038400 in words is "four billion, four hundred twenty-two million, thirty-eight thousand, four hundred".