24121400412142 has 32 divisors (see below), whose sum is σ = 40186145067264. Its totient is φ = 10767309792000.

The previous prime is 24121400412133. The next prime is 24121400412143.

24121400412142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24121400412142² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24121400412142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24121400412143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39245859 + ... + 39855742.

It is an arithmetic number, because the mean of its divisors is an integer number (1255817033352).

Almost surely, 2^{24121400412142} is an apocalyptic number.

24121400412142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24121400412142 is a deficient number, since it is larger than the sum of its proper divisors (16064744655122).

24121400412142 is a wasteful number, since it uses less digits than its factorization.

24121400412142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79101864.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 24121400 and 412142, that added together give a palindrome (24533542).

The spelling of 24121400412142 in words is "twenty-four trillion, one hundred twenty-one billion, four hundred million, four hundred twelve thousand, one hundred forty-two".