10041256224 has 144 divisors (see below), whose sum is σ = 29040560640. Its totient is φ = 3290434560.

The previous prime is 10041256213. The next prime is 10041256301. The reversal of 10041256224 is 42265214001.

10041256224 is a `hidden beast` number, since 10 + 0 + 4 + 1 + 25 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12411532 + ... + 12412340.

It is an arithmetic number, because the mean of its divisors is an integer number (201670560).

Almost surely, 2^10041256224 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 10041256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520280320).

10041256224 is an abundant number, since it is smaller than the sum of its proper divisors (18999304416).

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

10041256224 is a wasteful number, since it uses less digits than its factorization.

10041256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10041256224 in words is "ten billion, forty-one million, two hundred fifty-six thousand, two hundred twenty-four".