10403064400 has 30 divisors (see below), whose sum is σ = 24993363182. Its totient is φ = 4161225600.

The previous prime is 10403064391. The next prime is 10403064409. The reversal of 10403064400 is 446030401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10403064391) and next prime (10403064409).

It can be written as a sum of positive squares in 3 ways, for example, as 626601024 + 9776463376 = 25032^2 + 98876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403064409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13003431 + ... + 13004230.

Almost surely, 2^10403064400 is an apocalyptic number.

10403064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10403064400 is an abundant number, since it is smaller than the sum of its proper divisors (14590298782).

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

10403064400 is a wasteful number, since it uses less digits than its factorization.

10403064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26007679 (or 26007668 counting only the distinct ones).

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

Adding to 10403064400 its reverse (446030401), we get a palindrome (10849094801).

The spelling of 10403064400 in words is "ten billion, four hundred three million, sixty-four thousand, four hundred".