4221852624 has 240 divisors, whose sum is σ = 14106597120. Its totient is φ = 1203840000.

The previous prime is 4221852571. The next prime is 4221852631. The reversal of 4221852624 is 4262581224.

4221852624 is a `hidden beast` number, since 4 + 2 + 21 + 8 + 5 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886249 + ... + 890999.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 2^4221852624 is an apocalyptic number.

4221852624 is a gapful number since it is divisible by the number (44) 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 4221852624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

4221852624 is an abundant number, since it is smaller than the sum of its proper divisors (9884744496).

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

4221852624 is a wasteful number, since it uses less digits than its factorization.

4221852624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4784 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 4221852624 is about 64975.7849048397. The cubic root of 4221852624 is about 1616.2220330969. Note that the first 3 decimals are identical.

The spelling of 4221852624 in words is "four billion, two hundred twenty-one million, eight hundred fifty-two thousand, six hundred twenty-four".