4042122010002 has 24 divisors (see below), whose sum is σ = 8758067211036. Its totient is φ = 1347353051136.

The previous prime is 4042122009943. The next prime is 4042122010009. The reversal of 4042122010002 is 2000102212404.

4042122010002 is a `hidden beast` number, since 40 + 421 + 2 + 201 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2960357683761 + 1081764326241 = 1720569^2 + 1040079^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4042122010009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533583 + ... + 2892914.

Almost surely, 2^{4042122010002} is an apocalyptic number.

4042122010002 is an abundant number, since it is smaller than the sum of its proper divisors (4715945201034).

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

4042122010002 is a wasteful number, since it uses less digits than its factorization.

4042122010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492042 (or 3492039 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4042122010002 its reverse (2000102212404), we get a palindrome (6042224222406).

The spelling of 4042122010002 in words is "four trillion, forty-two billion, one hundred twenty-two million, ten thousand, two".