4400413254400 has 324 divisors, whose sum is σ = 11641120024800. Its totient is φ = 1646348820480.

The previous prime is 4400413254373. The next prime is 4400413254439. The reversal of 4400413254400 is 44523140044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182509546 + ... + 182533654.

Almost surely, 2^{4400413254400} is an apocalyptic number.

4400413254400 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 4400413254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820560012400).

4400413254400 is an abundant number, since it is smaller than the sum of its proper divisors (7240706770400).

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

4400413254400 is a wasteful number, since it uses less digits than its factorization.

4400413254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24252 (or 24214 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 4400413254400 its reverse (44523140044), we get a palindrome (4444936394444).

The spelling of 4400413254400 in words is "four trillion, four hundred billion, four hundred thirteen million, two hundred fifty-four thousand, four hundred".