10414020420 has 48 divisors (see below), whose sum is σ = 32399176320. Its totient is φ = 2777071968.

The previous prime is 10414020401. The next prime is 10414020427. The reversal of 10414020420 is 2402041401.

10414020420 is a `hidden beast` number, since 104 + 140 + 2 + 0 + 420 = 666.

10414020420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10414020393 and 10414020402.

It is not an unprimeable number, because it can be changed into a prime (10414020427) 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 15 ways as a sum of consecutive naturals, for example, 9642072 + ... + 9643151.

It is an arithmetic number, because the mean of its divisors is an integer number (674982840).

Almost surely, 2^10414020420 is an apocalyptic number.

10414020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414020420 is an abundant number, since it is smaller than the sum of its proper divisors (21985155900).

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

10414020420 is a wasteful number, since it uses less digits than its factorization.

10414020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19285241 (or 19285233 counting only the distinct ones).

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

Adding to 10414020420 its reverse (2402041401), we get a palindrome (12816061821).

The spelling of 10414020420 in words is "ten billion, four hundred fourteen million, twenty thousand, four hundred twenty".