24024100142042 has 32 divisors (see below), whose sum is σ = 48384201688704. Its totient is φ = 8640036014400.

The previous prime is 24024100142039. The next prime is 24024100142047.

It is a happy number.

24024100142042 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (24024100142047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6000023009 + ... + 6000027012.

It is an arithmetic number, because the mean of its divisors is an integer number (1512006302772).

Almost surely, 2^{24024100142042} is an apocalyptic number.

24024100142042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24024100142042 is an abundant number, since it is smaller than the sum of its proper divisors (24360101546662).

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

24024100142042 is a wasteful number, since it uses less digits than its factorization.

24024100142042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000050054.

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 24024100 and 142042, that added together give a palindrome (24166142).

The spelling of 24024100142042 in words is "twenty-four trillion, twenty-four billion, one hundred million, one hundred forty-two thousand, forty-two".