10434332440 has 96 divisors (see below), whose sum is σ = 27463762800. Its totient is φ = 3557379840.

The previous prime is 10434332411. The next prime is 10434332449. The reversal of 10434332440 is 4423343401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10434332399 and 10434332408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434332449) 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 23 ways as a sum of consecutive naturals, for example, 335970 + ... + 365710.

Almost surely, 2^10434332440 is an apocalyptic number.

10434332440 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 10434332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731881400).

10434332440 is an abundant number, since it is smaller than the sum of its proper divisors (17029430360).

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

10434332440 is a wasteful number, since it uses less digits than its factorization.

10434332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29945 (or 29934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10434332440 its reverse (4423343401), we get a palindrome (14857675841).

The spelling of 10434332440 in words is "ten billion, four hundred thirty-four million, three hundred thirty-two thousand, four hundred forty".