10143395424 has 288 divisors, whose sum is σ = 31965373440. Its totient is φ = 3157056000.

The previous prime is 10143395291. The next prime is 10143395473. The reversal of 10143395424 is 42459334101.

10143395424 is a `hidden beast` number, since 1 + 0 + 143 + 3 + 95 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6989899 + ... + 6991349.

It is an arithmetic number, because the mean of its divisors is an integer number (110990880).

Almost surely, 2^10143395424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10143395424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982686720).

10143395424 is an abundant number, since it is smaller than the sum of its proper divisors (21821978016).

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

10143395424 is a wasteful number, since it uses less digits than its factorization.

10143395424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10143395424 in words is "ten billion, one hundred forty-three million, three hundred ninety-five thousand, four hundred twenty-four".