9420422400 has 324 divisors, whose sum is σ = 34510252140. Its totient is φ = 2450227200.

The previous prime is 9420422377. The next prime is 9420422423. The reversal of 9420422400 is 42240249.

It is an interprime number because it is at equal distance from previous prime (9420422377) and next prime (9420422423).

It can be written as a sum of positive squares in 6 ways, for example, as 1696121856 + 7724300544 = 41184^2 + 87888^2 .

It is a super-4 number, since 4×9420422400⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2359606 + ... + 2363594.

Almost surely, 2^9420422400 is an apocalyptic number.

9420422400 is a gapful number since it is divisible by the number (90) 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 9420422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17255126070).

9420422400 is an abundant number, since it is smaller than the sum of its proper divisors (25089829740).

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

9420422400 is a wasteful number, since it uses less digits than its factorization.

9420422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 9420422400 is about 97058.8604919716. The cubic root of 9420422400 is about 2111.9815769743.

Adding to 9420422400 its reverse (42240249), we get a palindrome (9462662649).

The spelling of 9420422400 in words is "nine billion, four hundred twenty million, four hundred twenty-two thousand, four hundred".