10401233440 has 144 divisors (see below), whose sum is σ = 26860264200. Its totient is φ = 3804143616.

The previous prime is 10401233419. The next prime is 10401233449. The reversal of 10401233440 is 4433210401.

10401233440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 430811536 + 9970421904 = 20756^2 + 99852^2 .

It is not an unprimeable number, because it can be changed into a prime (10401233449) 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, 2945596 + ... + 2949124.

Almost surely, 2^10401233440 is an apocalyptic number.

10401233440 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 10401233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430132100).

10401233440 is an abundant number, since it is smaller than the sum of its proper divisors (16459030760).

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

10401233440 is a wasteful number, since it uses less digits than its factorization.

10401233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10401233440 its reverse (4433210401), we get a palindrome (14834443841).

The spelling of 10401233440 in words is "ten billion, four hundred one million, two hundred thirty-three thousand, four hundred forty".