4358222400 has 336 divisors, whose sum is σ = 16468628480. Its totient is φ = 988416000.

The previous prime is 4358222381. The next prime is 4358222411. The reversal of 4358222400 is 42228534.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5073171 + ... + 5074029.

Almost surely, 2^4358222400 is an apocalyptic number.

4358222400 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 4358222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234314240).

4358222400 is an abundant number, since it is smaller than the sum of its proper divisors (12110406080).

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

4358222400 is a wasteful number, since it uses less digits than its factorization.

4358222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4358222400 is about 66016.8342167360. The cubic root of 4358222400 is about 1633.4397857408.

The spelling of 4358222400 in words is "four billion, three hundred fifty-eight million, two hundred twenty-two thousand, four hundred".