10434121320 has 256 divisors, whose sum is σ = 37884672000. Its totient is φ = 2245764096.

The previous prime is 10434121303. The next prime is 10434121333. The reversal of 10434121320 is 2312143401.

10434121320 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 (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2759191 + ... + 2762969.

It is an arithmetic number, because the mean of its divisors is an integer number (147987000).

Almost surely, 2^10434121320 is an apocalyptic number.

10434121320 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 10434121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942336000).

10434121320 is an abundant number, since it is smaller than the sum of its proper divisors (27450550680).

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

10434121320 is a wasteful number, since it uses less digits than its factorization.

10434121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10434121320 its reverse (2312143401), we get a palindrome (12746264721).

The spelling of 10434121320 in words is "ten billion, four hundred thirty-four million, one hundred twenty-one thousand, three hundred twenty".