10403366400 has 1080 divisors, whose sum is σ = 46058692680. Its totient is φ = 2229534720.

The previous prime is 10403366383. The next prime is 10403366431. The reversal of 10403366400 is 466330401.

10403366400 is a `hidden beast` number, since 10 + 4 + 0 + 3 + 3 + 6 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 107251152 + ... + 107251248.

Almost surely, 2^10403366400 is an apocalyptic number.

10403366400 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 10403366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029346340).

10403366400 is an abundant number, since it is smaller than the sum of its proper divisors (35655326280).

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

10403366400 is a wasteful number, since it uses less digits than its factorization.

10403366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10403366400 its reverse (466330401), we get a palindrome (10869696801).

The spelling of 10403366400 in words is "ten billion, four hundred three million, three hundred sixty-six thousand, four hundred".