10242463834224 has 360 divisors, whose sum is σ = 30200339978640. Its totient is φ = 3238448578560.

The previous prime is 10242463834219. The next prime is 10242463834237. The reversal of 10242463834224 is 42243836424201.

10242463834224 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 4 + 638 + 3 + 4 + 2 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10242463834224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1675518592 + ... + 1675524704.

It is an arithmetic number, because the mean of its divisors is an integer number (83889833274).

Almost surely, 2^{10242463834224} 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 10242463834224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100169989320).

10242463834224 is an abundant number, since it is smaller than the sum of its proper divisors (19957876144416).

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

10242463834224 is a wasteful number, since it uses less digits than its factorization.

10242463834224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 10242463834224 in words is "ten trillion, two hundred forty-two billion, four hundred sixty-three million, eight hundred thirty-four thousand, two hundred twenty-four".