10240634142351 has 32 divisors (see below), whose sum is σ = 15322026320640. Its totient is φ = 6759271476000.

The previous prime is 10240634142341. The next prime is 10240634142359. The reversal of 10240634142351 is 15324143604201.

10240634142351 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 6 + 3 + 414 + 235 + 1 = 666.

10240634142351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10240634142351 - 2⁶ = 10240634142287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240634142359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144176436 + ... + 144247446.

It is an arithmetic number, because the mean of its divisors is an integer number (478813322520).

Almost surely, 2^{10240634142351} is an apocalyptic number.

10240634142351 is a deficient number, since it is larger than the sum of its proper divisors (5081392178289).

10240634142351 is a wasteful number, since it uses less digits than its factorization.

10240634142351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124004 (or 123998 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10240634142351 its reverse (15324143604201), we get a palindrome (25564777746552).

The spelling of 10240634142351 in words is "ten trillion, two hundred forty billion, six hundred thirty-four million, one hundred forty-two thousand, three hundred fifty-one".