4424201414400 has 864 divisors, whose sum is σ = 15269372572608. Its totient is φ = 1127153664000.

The previous prime is 4424201414393. The next prime is 4424201414447. The reversal of 4424201414400 is 44141024244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14134828644 + ... + 14134828956.

It is an arithmetic number, because the mean of its divisors is an integer number (17672884922).

Almost surely, 2^{4424201414400} is an apocalyptic number.

4424201414400 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 4424201414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634686286304).

4424201414400 is an abundant number, since it is smaller than the sum of its proper divisors (10845171158208).

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

4424201414400 is a wasteful number, since it uses less digits than its factorization.

4424201414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4424201414400 its reverse (44141024244), we get a palindrome (4468342438644).

The spelling of 4424201414400 in words is "four trillion, four hundred twenty-four billion, two hundred one million, four hundred fourteen thousand, four hundred".