4244001414400 has 108 divisors (see below), whose sum is σ = 11459527418304. Its totient is φ = 1543273216000.

The previous prime is 4244001414377. The next prime is 4244001414449. The reversal of 4244001414400 is 44141004424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30071656 + ... + 30212455.

Almost surely, 2^{4244001414400} is an apocalyptic number.

4244001414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244001414400 is an abundant number, since it is smaller than the sum of its proper divisors (7215526003904).

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

4244001414400 is a wasteful number, since it uses less digits than its factorization.

4244001414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60284148 (or 60284129 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4244001414400 its reverse (44141004424), we get a palindrome (4288142418824).

The spelling of 4244001414400 in words is "four trillion, two hundred forty-four billion, one million, four hundred fourteen thousand, four hundred".