10414220020 has 24 divisors (see below), whose sum is σ = 21875964264. Its totient is φ = 4164525696.

The previous prime is 10414219939. The next prime is 10414220029. The reversal of 10414220020 is 2002241401.

It can be written as a sum of positive squares in 4 ways, for example, as 1920017124 + 8494202896 = 43818^2 + 92164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10414219976 and 10414220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414220029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2734 + ... + 144346.

It is an arithmetic number, because the mean of its divisors is an integer number (911498511).

Almost surely, 2^10414220020 is an apocalyptic number.

10414220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414220020 is an abundant number, since it is smaller than the sum of its proper divisors (11461744244).

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

10414220020 is a wasteful number, since it uses less digits than its factorization.

10414220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145299 (or 145297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10414220020 its reverse (2002241401), we get a palindrome (12416461421).

The spelling of 10414220020 in words is "ten billion, four hundred fourteen million, two hundred twenty thousand, twenty".