10042610336341 has 8 divisors (see below), whose sum is σ = 10956152569824. Its totient is φ = 9129164379120.

The previous prime is 10042610336287. The next prime is 10042610336359. The reversal of 10042610336341 is 14363301624001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042610336341 - 2²¹ = 10042608239189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042610336297 and 10042610336306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042610336441) 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, 23850871 + ... + 24268276.

It is an arithmetic number, because the mean of its divisors is an integer number (1369519071228).

Almost surely, 2^{10042610336341} is an apocalyptic number.

10042610336341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042610336341 is a deficient number, since it is larger than the sum of its proper divisors (913542233483).

10042610336341 is a wasteful number, since it uses less digits than its factorization.

10042610336341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48138131.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 10042610336341 in words is "ten trillion, forty-two billion, six hundred ten million, three hundred thirty-six thousand, three hundred forty-one".