24054033045042 has 384 divisors, whose sum is σ = 70280436215808. Its totient is φ = 5742104256000.

The previous prime is 24054033045037. The next prime is 24054033045131.

24054033045042 is a `hidden beast` number, since 2 + 4 + 0 + 540 + 3 + 30 + 45 + 0 + 42 = 666.

24054033045042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24054033044988 and 24054033045006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6003001003 + ... + 6003005009.

It is an arithmetic number, because the mean of its divisors is an integer number (183021969312).

Almost surely, 2^{24054033045042} is an apocalyptic number.

24054033045042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24054033045042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35140218107904).

24054033045042 is an abundant number, since it is smaller than the sum of its proper divisors (46226403170766).

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

24054033045042 is a wasteful number, since it uses less digits than its factorization.

24054033045042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 24054033045042 in words is "twenty-four trillion, fifty-four billion, thirty-three million, forty-five thousand, forty-two".