4411201022400 has 336 divisors, whose sum is σ = 15257374965504. Its totient is φ = 1113573457920.

The previous prime is 4411201022351. The next prime is 4411201022461. The reversal of 4411201022400 is 42201021144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10502839 + ... + 10914761.

It is an arithmetic number, because the mean of its divisors is an integer number (45408854064).

Almost surely, 2^{4411201022400} is an apocalyptic number.

4411201022400 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 4411201022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628687482752).

4411201022400 is an abundant number, since it is smaller than the sum of its proper divisors (10846173943104).

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

4411201022400 is a wasteful number, since it uses less digits than its factorization.

4411201022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412068 (or 412053 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 4411201022400 its reverse (42201021144), we get a palindrome (4453402043544).

The spelling of 4411201022400 in words is "four trillion, four hundred eleven billion, two hundred one million, twenty-two thousand, four hundred".