10400233440 has 48 divisors (see below), whose sum is σ = 32760736848. Its totient is φ = 2773395456.

The previous prime is 10400233409. The next prime is 10400233447. The reversal of 10400233440 is 4433200401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400233447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10833097 + ... + 10834056.

It is an arithmetic number, because the mean of its divisors is an integer number (682515351).

Almost surely, 2^10400233440 is an apocalyptic number.

10400233440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400233440 is an abundant number, since it is smaller than the sum of its proper divisors (22360503408).

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

10400233440 is a wasteful number, since it uses less digits than its factorization.

10400233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21667171 (or 21667163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10400233440 its reverse (4433200401), we get a palindrome (14833433841).

The spelling of 10400233440 in words is "ten billion, four hundred million, two hundred thirty-three thousand, four hundred forty".