10143995904 has 384 divisors, whose sum is σ = 34909056000. Its totient is φ = 2850619392.

The previous prime is 10143995893. The next prime is 10143995909. The reversal of 10143995904 is 40959934101.

10143995904 is a `hidden beast` number, since 10 + 1 + 43 + 9 + 9 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 10143995904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143995909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28256077 + ... + 28256435.

It is an arithmetic number, because the mean of its divisors is an integer number (90909000).

Almost surely, 2^10143995904 is an apocalyptic number.

10143995904 is a gapful number since it is divisible by the number (14) 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 10143995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528000).

10143995904 is an abundant number, since it is smaller than the sum of its proper divisors (24765060096).

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

10143995904 is an equidigital number, since it uses as much as digits as its factorization.

10143995904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10143995904 in words is "ten billion, one hundred forty-three million, nine hundred ninety-five thousand, nine hundred four".