42142133104110 has 192 divisors, whose sum is σ = 124370022067200. Its totient is φ = 9826766337024.

The previous prime is 42142133104103. The next prime is 42142133104117. The reversal of 42142133104110 is 1140133124124.

It is a happy number.

42142133104110 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 213 + 31 + 0 + 411 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42142133104103) and next prime (42142133104117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142133104117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9918990 + ... + 13515569.

It is an arithmetic number, because the mean of its divisors is an integer number (647760531600).

Almost surely, 2^{42142133104110} is an apocalyptic number.

42142133104110 is an abundant number, since it is smaller than the sum of its proper divisors (82227888963090).

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

42142133104110 is a wasteful number, since it uses less digits than its factorization.

42142133104110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23434667 (or 23434664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 42142133104110 its reverse (1140133124124), we get a palindrome (43282266228234).

The spelling of 42142133104110 in words is "forty-two trillion, one hundred forty-two billion, one hundred thirty-three million, one hundred four thousand, one hundred ten".