4138430400 has 336 divisors, whose sum is σ = 16248786400. Its totient is φ = 1018552320.

The previous prime is 4138430393. The next prime is 4138430423. The reversal of 4138430400 is 40348314.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557916 + ... + 565284.

Almost surely, 2^4138430400 is an apocalyptic number.

4138430400 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 4138430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124393200).

4138430400 is an abundant number, since it is smaller than the sum of its proper divisors (12110356000).

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

4138430400 is a wasteful number, since it uses less digits than its factorization.

4138430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7392 counting only the distinct ones).

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

The square root of 4138430400 is about 64330.6334493917. The cubic root of 4138430400 is about 1605.5058236257.

Adding to 4138430400 its reverse (40348314), we get a palindrome (4178778714).

The spelling of 4138430400 in words is "four billion, one hundred thirty-eight million, four hundred thirty thousand, four hundred".