42010242142200 has 96 divisors (see below), whose sum is σ = 133260396086400. Its totient is φ = 10942202597760.

The previous prime is 42010242142189. The next prime is 42010242142237. The reversal of 42010242142200 is 224124201024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814126180 + ... + 814177779.

It is an arithmetic number, because the mean of its divisors is an integer number (1388129125900).

Almost surely, 2^{42010242142200} is an apocalyptic number.

42010242142200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42010242142200 is an abundant number, since it is smaller than the sum of its proper divisors (91250153944200).

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

42010242142200 is a wasteful number, since it uses less digits than its factorization.

42010242142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628304021 (or 1628304012 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42010242142200 its reverse (224124201024), we get a palindrome (42234366343224).

The spelling of 42010242142200 in words is "forty-two trillion, ten billion, two hundred forty-two million, one hundred forty-two thousand, two hundred".