10202392992042 has 72 divisors (see below), whose sum is σ = 23002225203360. Its totient is φ = 3267966008160.

The previous prime is 10202392992019. The next prime is 10202392992053. The reversal of 10202392992042 is 24029929320201.

10202392992042 is a `hidden beast` number, since 10 + 202 + 392 + 9 + 9 + 2 + 0 + 42 = 666.

It is a super-3 number, since 3×10202392992042³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1597059 + ... + 4791177.

Almost surely, 2^{10202392992042} is an apocalyptic number.

It is a pronic number, being equal to 3194118×3194119.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202392992042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501112601680).

10202392992042 is an abundant number, since it is smaller than the sum of its proper divisors (12799832211318).

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

10202392992042 is a wasteful number, since it uses less digits than its factorization.

10202392992042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194396 (or 3194364 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10202392992042 in words is "ten trillion, two hundred two billion, three hundred ninety-two million, nine hundred ninety-two thousand, forty-two".