4132142452251 has 48 divisors (see below), whose sum is σ = 6550636764672. Its totient is φ = 2489189572800.

The previous prime is 4132142452223. The next prime is 4132142452279. The reversal of 4132142452251 is 1522542412314.

4132142452251 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 1 + 424 + 5 + 225 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4132142452223) and next prime (4132142452279).

It is not a de Polignac number, because 4132142452251 - 2⁶ = 4132142452187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4132142452211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68529246 + ... + 68589516.

It is an arithmetic number, because the mean of its divisors is an integer number (136471599264).

Almost surely, 2^{4132142452251} is an apocalyptic number.

4132142452251 is a deficient number, since it is larger than the sum of its proper divisors (2418494312421).

4132142452251 is a wasteful number, since it uses less digits than its factorization.

4132142452251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64464 (or 64461 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 4132142452251 its reverse (1522542412314), we get a palindrome (5654684864565).

The spelling of 4132142452251 in words is "four trillion, one hundred thirty-two billion, one hundred forty-two million, four hundred fifty-two thousand, two hundred fifty-one".