4221847153440 has 1152 divisors, whose sum is σ = 17883607472640. Its totient is φ = 885332312064.

The previous prime is 4221847153439. The next prime is 4221847153441. The reversal of 4221847153440 is 443517481224.

4221847153440 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 8 + 4 + 71 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4221847153439) and next prime (4221847153441).

It is a super-4 number, since 4×4221847153440⁴ (a number of 52 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4221847153441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1651092642 + ... + 1651095198.

It is an arithmetic number, because the mean of its divisors is an integer number (15523964820).

Almost surely, 2^{4221847153440} is an apocalyptic number.

4221847153440 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 4221847153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941803736320).

4221847153440 is an abundant number, since it is smaller than the sum of its proper divisors (13661760319200).

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

4221847153440 is a wasteful number, since it uses less digits than its factorization.

4221847153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4221847153440 in words is "four trillion, two hundred twenty-one billion, eight hundred forty-seven million, one hundred fifty-three thousand, four hundred forty".