10043434440 has 192 divisors, whose sum is σ = 35378506800. Its totient is φ = 2456303616.

The previous prime is 10043434381. The next prime is 10043434501. The reversal of 10043434440 is 4443434001.

It can be written as a sum of positive squares in 8 ways, for example, as 2705456196 + 7337978244 = 52014^2 + 85662^2 .

It is a super-2 number, since 2×10043434440² (a number of 21 digits) contains 22 as substring.

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, 727926 + ... + 741594.

Almost surely, 2^10043434440 is an apocalyptic number.

10043434440 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 10043434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689253400).

10043434440 is an abundant number, since it is smaller than the sum of its proper divisors (25335072360).

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

10043434440 is a wasteful number, since it uses less digits than its factorization.

10043434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856 (or 13849 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10043434440 its reverse (4443434001), we get a palindrome (14486868441).

The spelling of 10043434440 in words is "ten billion, forty-three million, four hundred thirty-four thousand, four hundred forty".