10400338032 has 80 divisors (see below), whose sum is σ = 31126460160. Its totient is φ = 2930812416.

The previous prime is 10400338027. The next prime is 10400338033. The reversal of 10400338032 is 23083300401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10400337993 and 10400338011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400338033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187482 + ... + 236537.

It is an arithmetic number, because the mean of its divisors is an integer number (389080752).

Almost surely, 2^10400338032 is an apocalyptic number.

10400338032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400338032 is an abundant number, since it is smaller than the sum of its proper divisors (20726122128).

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

10400338032 is a wasteful number, since it uses less digits than its factorization.

10400338032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424110 (or 424104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10400338032 its reverse (23083300401), we get a palindrome (33483638433).

The spelling of 10400338032 in words is "ten billion, four hundred million, three hundred thirty-eight thousand, thirty-two".