10210440142431 has 48 divisors (see below), whose sum is σ = 14971212965280. Its totient is φ = 6704396282880.

The previous prime is 10210440142411. The next prime is 10210440142481. The reversal of 10210440142431 is 13424104401201.

10210440142431 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 4 + 401 + 4 + 243 + 1 = 666.

It is not a de Polignac number, because 10210440142431 - 2¹³ = 10210440134239 is a prime.

It is a super-2 number, since 2×10210440142431² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210440142395 and 10210440142404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210440142411) 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 47 ways as a sum of consecutive naturals, for example, 1895382520 + ... + 1895387906.

It is an arithmetic number, because the mean of its divisors is an integer number (311900270110).

Almost surely, 2^{10210440142431} is an apocalyptic number.

10210440142431 is a deficient number, since it is larger than the sum of its proper divisors (4760772822849).

10210440142431 is a wasteful number, since it uses less digits than its factorization.

10210440142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10210440142431 its reverse (13424104401201), we get a palindrome (23634544543632).

The spelling of 10210440142431 in words is "ten trillion, two hundred ten billion, four hundred forty million, one hundred forty-two thousand, four hundred thirty-one".