4224147609600 has 1728 divisors, whose sum is σ = 16729929216000. Its totient is φ = 1014438297600.

The previous prime is 4224147609599. The next prime is 4224147609613. The reversal of 4224147609600 is 69067414224.

4224147609600 is a `hidden beast` number, since 4 + 2 + 24 + 14 + 7 + 6 + 0 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32245401535 + ... + 32245401665.

It is an arithmetic number, because the mean of its divisors is an integer number (9681672000).

Almost surely, 2^{4224147609600} is an apocalyptic number.

4224147609600 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 4224147609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364964608000).

4224147609600 is an abundant number, since it is smaller than the sum of its proper divisors (12505781606400).

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

4224147609600 is a wasteful number, since it uses less digits than its factorization.

4224147609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4224147609600 in words is "four trillion, two hundred twenty-four billion, one hundred forty-seven million, six hundred nine thousand, six hundred".