4138254432900 has 405 divisors, whose sum is σ = 15609556672479. Its totient is φ = 945593792640.

The previous prime is 4138254432889. The next prime is 4138254432941. The reversal of 4138254432900 is 92344528314.

The square root of 4138254432900 is 2034270.

It is a perfect power (a square), and thus also a powerful number.

4138254432900 is a `hidden beast` number, since 4 + 1 + 3 + 82 + 54 + 432 + 90 + 0 = 666.

4138254432900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 477981415044 + 3660273017856 = 691362^2 + 1913184^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1281588486 + ... + 1281591714.

Almost surely, 2^{4138254432900} is an apocalyptic number.

4138254432900 is the 2034270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138254432900

4138254432900 is an abundant number, since it is smaller than the sum of its proper divisors (11471302239579).

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

4138254432900 is an equidigital number, since it uses as much as digits as its factorization.

4138254432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4138254432900 in words is "four trillion, one hundred thirty-eight billion, two hundred fifty-four million, four hundred thirty-two thousand, nine hundred".