10143806400 has 504 divisors, whose sum is σ = 44379249824. Its totient is φ = 2139955200.

The previous prime is 10143806377. The next prime is 10143806401. The reversal of 10143806400 is 460834101.

10143806400 is a `hidden beast` number, since 1 + 0 + 14 + 3 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143806401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1306530 + ... + 1314270.

Almost surely, 2^10143806400 is an apocalyptic number.

10143806400 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 10143806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189624912).

10143806400 is an abundant number, since it is smaller than the sum of its proper divisors (34235443424).

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

10143806400 is a wasteful number, since it uses less digits than its factorization.

10143806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10143806400 in words is "ten billion, one hundred forty-three million, eight hundred six thousand, four hundred".