4322410400 has 216 divisors, whose sum is σ = 13257588960. Its totient is φ = 1347033600.

The previous prime is 4322410397. The next prime is 4322410403. The reversal of 4322410400 is 40142234.

It is an interprime number because it is at equal distance from previous prime (4322410397) and next prime (4322410403).

It is a super-5 number, since 5×4322410400⁵ (a number of 49 digits) contains 55555 as substring.

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 (4322410403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 674411 + ... + 680789.

Almost surely, 2^4322410400 is an apocalyptic number.

4322410400 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 4322410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628794480).

4322410400 is an abundant number, since it is smaller than the sum of its proper divisors (8935178560).

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

4322410400 is a wasteful number, since it uses less digits than its factorization.

4322410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4322410400 is about 65745.0408776206. The cubic root of 4322410400 is about 1628.9534225363.

Adding to 4322410400 its reverse (40142234), we get a palindrome (4362552634).

The spelling of 4322410400 in words is "four billion, three hundred twenty-two million, four hundred ten thousand, four hundred".