10383318400 has 384 divisors, whose sum is σ = 31904832960. Its totient is φ = 3251404800.

The previous prime is 10383318383. The next prime is 10383318409. The reversal of 10383318400 is 481338301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10383318409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52707102 + ... + 52707298.

Almost surely, 2^10383318400 is an apocalyptic number.

10383318400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10383318400 is the 83200-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10383318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952416480).

10383318400 is an abundant number, since it is smaller than the sum of its proper divisors (21521514560).

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

10383318400 is a wasteful number, since it uses less digits than its factorization.

10383318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10383318400 in words is "ten billion, three hundred eighty-three million, three hundred eighteen thousand, four hundred".