4220041410 has 256 divisors, whose sum is σ = 12933043200. Its totient is φ = 970002432.

The previous prime is 4220041367. The next prime is 4220041411. The reversal of 4220041410 is 141400224.

4220041410 is a `hidden beast` number, since 42 + 200 + 414 + 10 = 666.

4220041410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4220041410² = 35617499004229576200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4220041411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11754811 + ... + 11755169.

It is an arithmetic number, because the mean of its divisors is an integer number (50519700).

Almost surely, 2^4220041410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220041410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466521600).

4220041410 is an abundant number, since it is smaller than the sum of its proper divisors (8713001790).

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

4220041410 is a wasteful number, since it uses less digits than its factorization.

4220041410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4220041410 is about 64961.8458019783. The cubic root of 4220041410 is about 1615.9908752814.

Adding to 4220041410 its reverse (141400224), we get a palindrome (4361441634).

The spelling of 4220041410 in words is "four billion, two hundred twenty million, forty-one thousand, four hundred ten".