10433100040 has 96 divisors (see below), whose sum is σ = 25780161600. Its totient is φ = 3768565760.

The previous prime is 10433100031. The next prime is 10433100043. The reversal of 10433100040 is 4000133401.

10433100040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10433099987 and 10433100023.

It is not an unprimeable number, because it can be changed into a prime (10433100043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29061381 + ... + 29061739.

It is an arithmetic number, because the mean of its divisors is an integer number (268543350).

Almost surely, 2^10433100040 is an apocalyptic number.

10433100040 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 10433100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890080800).

10433100040 is an abundant number, since it is smaller than the sum of its proper divisors (15347061560).

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

10433100040 is a wasteful number, since it uses less digits than its factorization.

10433100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10433100040 its reverse (4000133401), we get a palindrome (14433233441).

The spelling of 10433100040 in words is "ten billion, four hundred thirty-three million, one hundred thousand, forty".