4130221140 has 288 divisors, whose sum is σ = 13753958400. Its totient is φ = 999371520.

The previous prime is 4130221129. The next prime is 4130221177. The reversal of 4130221140 is 411220314.

4130221140 is a `hidden beast` number, since 413 + 0 + 2 + 211 + 40 = 666.

4130221140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17281141 + ... + 17281379.

It is an arithmetic number, because the mean of its divisors is an integer number (47756800).

Almost surely, 2^4130221140 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 4130221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876979200).

4130221140 is an abundant number, since it is smaller than the sum of its proper divisors (9623737260).

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

4130221140 is a wasteful number, since it uses less digits than its factorization.

4130221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4130221140 is about 64266.7965593431. The cubic root of 4130221140 is about 1604.4435256052.

Adding to 4130221140 its reverse (411220314), we get a palindrome (4541441454).

The spelling of 4130221140 in words is "four billion, one hundred thirty million, two hundred twenty-one thousand, one hundred forty".