4224315110400 has 1584 divisors, whose sum is σ = 19557833218560. Its totient is φ = 877680230400.

The previous prime is 4224315110399. The next prime is 4224315110417. The reversal of 4224315110400 is 40115134224.

4224315110400 is a `hidden beast` number, since 4 + 2 + 243 + 1 + 5 + 1 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 478997191 + ... + 479006009.

Almost surely, 2^{4224315110400} is an apocalyptic number.

4224315110400 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 4224315110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9778916609280).

4224315110400 is an abundant number, since it is smaller than the sum of its proper divisors (15333518108160).

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

4224315110400 is a wasteful number, since it uses less digits than its factorization.

4224315110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 4224315110400 in words is "four trillion, two hundred twenty-four billion, three hundred fifteen million, one hundred ten thousand, four hundred".