4220132221152 has 336 divisors, whose sum is σ = 12618119787840. Its totient is φ = 1388557209600.

The previous prime is 4220132221121. The next prime is 4220132221153. The reversal of 4220132221152 is 2511222310224.

4220132221152 is a `hidden beast` number, since 4 + 220 + 1 + 322 + 2 + 115 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220132221153) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1579980777 + ... + 1579983447.

It is an arithmetic number, because the mean of its divisors is an integer number (37553927940).

Almost surely, 2^{4220132221152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220132221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309059893920).

4220132221152 is an abundant number, since it is smaller than the sum of its proper divisors (8397987566688).

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

4220132221152 is an equidigital number, since it uses as much as digits as its factorization.

4220132221152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3526 counting only the distinct ones).

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

Adding to 4220132221152 its reverse (2511222310224), we get a palindrome (6731354531376).

The spelling of 4220132221152 in words is "four trillion, two hundred twenty billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred fifty-two".