10004342420 has 24 divisors (see below), whose sum is σ = 21033111624. Its totient is φ = 3997166976.

The previous prime is 10004342419. The next prime is 10004342423. The reversal of 10004342420 is 2424340001.

It can be written as a sum of positive squares in 4 ways, for example, as 5410485136 + 4593857284 = 73556^2 + 67778^2 .

It is a super-2 number, since 2×10004342420² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10004342392 and 10004342401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004342423) 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, 267647 + ... + 302726.

It is an arithmetic number, because the mean of its divisors is an integer number (876379651).

Almost surely, 2^10004342420 is an apocalyptic number.

10004342420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004342420 is an abundant number, since it is smaller than the sum of its proper divisors (11028769204).

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

10004342420 is a wasteful number, since it uses less digits than its factorization.

10004342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571259 (or 571257 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10004342420 its reverse (2424340001), we get a palindrome (12428682421).

The spelling of 10004342420 in words is "ten billion, four million, three hundred forty-two thousand, four hundred twenty".