4051238400 has 720 divisors, whose sum is σ = 16622686080. Its totient is φ = 932659200.

The previous prime is 4051238381. The next prime is 4051238407. The reversal of 4051238400 is 48321504.

4051238400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4051238407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29145531 + ... + 29145669.

It is an arithmetic number, because the mean of its divisors is an integer number (23087064).

Almost surely, 2^4051238400 is an apocalyptic number.

4051238400 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 4051238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

4051238400 is an abundant number, since it is smaller than the sum of its proper divisors (12571447680).

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

4051238400 is a wasteful number, since it uses less digits than its factorization.

4051238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4051238400 is about 63649.3393524238. The cubic root of 4051238400 is about 1594.1503059049.

Adding to 4051238400 its reverse (48321504), we get a palindrome (4099559904).

The spelling of 4051238400 in words is "four billion, fifty-one million, two hundred thirty-eight thousand, four hundred".