4224121920 has 224 divisors, whose sum is σ = 15778886400. Its totient is φ = 1060134912.

The previous prime is 4224121919. The next prime is 4224121931. The reversal of 4224121920 is 291214224.

4224121920 is a `hidden beast` number, since 422 + 4 + 1 + 219 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132501 + ... + 161259.

Almost surely, 2^4224121920 is an apocalyptic number.

4224121920 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 4224121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889443200).

4224121920 is an abundant number, since it is smaller than the sum of its proper divisors (11554764480).

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

4224121920 is a wasteful number, since it uses less digits than its factorization.

4224121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28802 (or 28786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4224121920 is about 64993.2451874808. The cubic root of 4224121920 is about 1616.5115607502.

The spelling of 4224121920 in words is "four billion, two hundred twenty-four million, one hundred twenty-one thousand, nine hundred twenty".