10211340420 has 72 divisors (see below), whose sum is σ = 30991176216. Its totient is φ = 2721549312.

The previous prime is 10211340407. The next prime is 10211340427. The reversal of 10211340420 is 2404311201.

10211340420 is a `hidden beast` number, since 1 + 0 + 211 + 34 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1749916224 + 8461424196 = 41832^2 + 91986^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10211340393 and 10211340402.

It is not an unprimeable number, because it can be changed into a prime (10211340427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340764 + ... + 369516.

It is an arithmetic number, because the mean of its divisors is an integer number (430433003).

Almost surely, 2^10211340420 is an apocalyptic number.

10211340420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211340420 is an abundant number, since it is smaller than the sum of its proper divisors (20779835796).

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

10211340420 is a wasteful number, since it uses less digits than its factorization.

10211340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30741 (or 30736 counting only the distinct ones).

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

Adding to 10211340420 its reverse (2404311201), we get a palindrome (12615651621).

The spelling of 10211340420 in words is "ten billion, two hundred eleven million, three hundred forty thousand, four hundred twenty".