24135400453142 has 16 divisors (see below), whose sum is σ = 39494450016000. Its totient is φ = 10970592579240.

The previous prime is 24135400453111. The next prime is 24135400453147.

24135400453142 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×24135400453142⁴ (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24135400453096 and 24135400453105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24135400453147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3771959 + ... + 7905597.

It is an arithmetic number, because the mean of its divisors is an integer number (2468403126000).

Almost surely, 2^{24135400453142} is an apocalyptic number.

24135400453142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24135400453142 is a deficient number, since it is larger than the sum of its proper divisors (15359049562858).

24135400453142 is a wasteful number, since it uses less digits than its factorization.

24135400453142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399051.

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 24135400 and 453142, that added together give a palindrome (24588542).

The spelling of 24135400453142 in words is "twenty-four trillion, one hundred thirty-five billion, four hundred million, four hundred fifty-three thousand, one hundred forty-two".