10040443434 has 96 divisors (see below), whose sum is σ = 25346280960. Its totient is φ = 2813338656.

The previous prime is 10040443417. The next prime is 10040443447. The reversal of 10040443434 is 43434404001.

It is a super-3 number, since 3×10040443434³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10040443398 and 10040443407.

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, 1450209 + ... + 1457115.

It is an arithmetic number, because the mean of its divisors is an integer number (264023760).

Almost surely, 2^10040443434 is an apocalyptic number.

10040443434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040443434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673140480).

10040443434 is an abundant number, since it is smaller than the sum of its proper divisors (15305837526).

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

10040443434 is a wasteful number, since it uses less digits than its factorization.

10040443434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7141 counting only the distinct ones).

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

Adding to 10040443434 its reverse (43434404001), we get a palindrome (53474847435).

The spelling of 10040443434 in words is "ten billion, forty million, four hundred forty-three thousand, four hundred thirty-four".