4224051344400 has 60 divisors (see below), whose sum is σ = 13531044477072. Its totient is φ = 1126413691520.

The previous prime is 4224051344377. The next prime is 4224051344479. The reversal of 4224051344400 is 44431504224.

4224051344400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4224051344400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1760020194 + ... + 1760022593.

Almost surely, 2^{4224051344400} is an apocalyptic number.

4224051344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224051344400 is an abundant number, since it is smaller than the sum of its proper divisors (9306993132672).

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

4224051344400 is a wasteful number, since it uses less digits than its factorization.

4224051344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520042808 (or 3520042797 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 4224051344400 its reverse (44431504224), we get a palindrome (4268482848624).

The spelling of 4224051344400 in words is "four trillion, two hundred twenty-four billion, fifty-one million, three hundred forty-four thousand, four hundred".