4044201440400 has 675 divisors, whose sum is σ = 15493790303355. Its totient is φ = 976873075200.

The previous prime is 4044201440393. The next prime is 4044201440441. The reversal of 4044201440400 is 40441024404.

The square root of 4044201440400 is 2011020.

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

4044201440400 is a `hidden beast` number, since 40 + 442 + 0 + 144 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 926745080976 + 3117456359424 = 962676^2 + 1765632^2 .

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, 14600005062 + ... + 14600005338.

Almost surely, 2^{4044201440400} is an apocalyptic number.

4044201440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4044201440400 is the 2011020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044201440400

4044201440400 is an abundant number, since it is smaller than the sum of its proper divisors (11449588862955).

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

4044201440400 is an equidigital number, since it uses as much as digits as its factorization.

4044201440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4044201440400 its reverse (40441024404), we get a palindrome (4084642464804).

The spelling of 4044201440400 in words is "four trillion, forty-four billion, two hundred one million, four hundred forty thousand, four hundred".