4342430400 has 672 divisors, whose sum is σ = 18383585280. Its totient is φ = 870912000.

The previous prime is 4342430381. The next prime is 4342430419. The reversal of 4342430400 is 40342434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4342430381) and next prime (4342430419).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11457411 + ... + 11457789.

Almost surely, 2^4342430400 is an apocalyptic number.

4342430400 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 4342430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191792640).

4342430400 is an abundant number, since it is smaller than the sum of its proper divisors (14041154880).

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

4342430400 is a wasteful number, since it uses less digits than its factorization.

4342430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4342430400 is about 65897.1198156642. The cubic root of 4342430400 is about 1631.4644773115.

Adding to 4342430400 its reverse (40342434), we get a palindrome (4382772834).

The spelling of 4342430400 in words is "four billion, three hundred forty-two million, four hundred thirty thousand, four hundred".