4102220040 has 128 divisors (see below), whose sum is σ = 12571459200. Its totient is φ = 1070643200.

The previous prime is 4102220033. The next prime is 4102220041. The reversal of 4102220040 is 400222014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4102220041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076779 + ... + 1080581.

It is an arithmetic number, because the mean of its divisors is an integer number (98214525).

Almost surely, 2^4102220040 is an apocalyptic number.

4102220040 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 4102220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285729600).

4102220040 is an abundant number, since it is smaller than the sum of its proper divisors (8469239160).

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

4102220040 is a wasteful number, since it uses less digits than its factorization.

4102220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4102220040 is about 64048.5756281902. The cubic root of 4102220040 is about 1600.8094914249.

Adding to 4102220040 its reverse (400222014), we get a palindrome (4502442054).

The spelling of 4102220040 in words is "four billion, one hundred two million, two hundred twenty thousand, forty".