10434220020 has 144 divisors (see below), whose sum is σ = 37744761600. Its totient is φ = 2281264128.

The previous prime is 10434219989. The next prime is 10434220057. The reversal of 10434220020 is 2002243401.

10434220020 is a `hidden beast` number, since 10 + 434 + 2 + 200 + 20 = 666.

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 = 10434219975 and 10434220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151045 + ... + 209004.

It is an arithmetic number, because the mean of its divisors is an integer number (262116400).

Almost surely, 2^10434220020 is an apocalyptic number.

10434220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434220020 is an abundant number, since it is smaller than the sum of its proper divisors (27310541580).

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

10434220020 is a wasteful number, since it uses less digits than its factorization.

10434220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360094 (or 360089 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10434220020 its reverse (2002243401), we get a palindrome (12436463421).

The spelling of 10434220020 in words is "ten billion, four hundred thirty-four million, two hundred twenty thousand, twenty".