10242243024000 has 1024 divisors, whose sum is σ = 37349746237440. Its totient is φ = 2467584000000.

The previous prime is 10242243023897. The next prime is 10242243024011. The reversal of 10242243024000 is 42034224201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6689903235 + ... + 6689904765.

It is an arithmetic number, because the mean of its divisors is an integer number (36474361560).

Almost surely, 2^{10242243024000} is an apocalyptic number.

10242243024000 is a gapful number since it is divisible by the number (10) 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 10242243024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18674873118720).

10242243024000 is an abundant number, since it is smaller than the sum of its proper divisors (27107503213440).

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

10242243024000 is a wasteful number, since it uses less digits than its factorization.

10242243024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10242243024000 its reverse (42034224201), we get a palindrome (10284277248201).

The spelling of 10242243024000 in words is "ten trillion, two hundred forty-two billion, two hundred forty-three million, twenty-four thousand".