10206425441142 has 192 divisors, whose sum is σ = 27690429312000. Its totient is φ = 2705926890240.

The previous prime is 10206425441137. The next prime is 10206425441153. The reversal of 10206425441142 is 24114452460201.

10206425441142 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 64 + 2 + 544 + 11 + 42 = 666.

It is a super-2 number, since 2×10206425441142² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10206425441097 and 10206425441106.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6767209 + ... + 8136827.

It is an arithmetic number, because the mean of its divisors is an integer number (144220986000).

Almost surely, 2^{10206425441142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206425441142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845214656000).

10206425441142 is an abundant number, since it is smaller than the sum of its proper divisors (17484003870858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10206425441142 is a wasteful number, since it uses less digits than its factorization.

10206425441142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369736 (or 1369719 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10206425441142 in words is "ten trillion, two hundred six billion, four hundred twenty-five million, four hundred forty-one thousand, one hundred forty-two".