10042688448 has 252 divisors, whose sum is σ = 32333065128. Its totient is φ = 3089249280.

The previous prime is 10042688419. The next prime is 10042688473. The reversal of 10042688448 is 84488624001.

10042688448 is a `hidden beast` number, since 100 + 4 + 26 + 88 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2626378 + ... + 2630198.

It is an arithmetic number, because the mean of its divisors is an integer number (128305814).

Almost surely, 2^10042688448 is an apocalyptic number.

10042688448 is a gapful number since it is divisible by the number (18) 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 10042688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166532564).

10042688448 is an abundant number, since it is smaller than the sum of its proper divisors (22290376680).

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

10042688448 is an equidigital number, since it uses as much as digits as its factorization.

10042688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 10042688448 in words is "ten billion, forty-two million, six hundred eighty-eight thousand, four hundred forty-eight".