10434243120 has 160 divisors (see below), whose sum is σ = 37087007232. Its totient is φ = 2377230336.

The previous prime is 10434243077. The next prime is 10434243121. The reversal of 10434243120 is 2134243401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10434243121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515919 + ... + 535761.

Almost surely, 2^10434243120 is an apocalyptic number.

10434243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543503616).

10434243120 is an abundant number, since it is smaller than the sum of its proper divisors (26652764112).

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

10434243120 is a wasteful number, since it uses less digits than its factorization.

10434243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10434243120 its reverse (2134243401), we get a palindrome (12568486521).

The spelling of 10434243120 in words is "ten billion, four hundred thirty-four million, two hundred forty-three thousand, one hundred twenty".