10400220210 has 64 divisors (see below), whose sum is σ = 25780146048. Its totient is φ = 2683759104.

The previous prime is 10400220199. The next prime is 10400220217. The reversal of 10400220210 is 1202200401.

10400220210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10400220217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71269 + ... + 160871.

It is an arithmetic number, because the mean of its divisors is an integer number (402814782).

Almost surely, 2^10400220210 is an apocalyptic number.

10400220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890073024).

10400220210 is an abundant number, since it is smaller than the sum of its proper divisors (15379925838).

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

10400220210 is a wasteful number, since it uses less digits than its factorization.

10400220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89739.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10400220210 its reverse (1202200401), we get a palindrome (11602420611).

The spelling of 10400220210 in words is "ten billion, four hundred million, two hundred twenty thousand, two hundred ten".