42142022000144 has 40 divisors (see below), whose sum is σ = 89074251040800. Its totient is φ = 19155176179200.

The previous prime is 42142022000087. The next prime is 42142022000179. The reversal of 42142022000144 is 44100022024124.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 10146584 + ... + 13683464.

It is an arithmetic number, because the mean of its divisors is an integer number (2226856276020).

Almost surely, 2^{42142022000144} is an apocalyptic number.

42142022000144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42142022000144 is an abundant number, since it is smaller than the sum of its proper divisors (46932229040656).

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

42142022000144 is a wasteful number, since it uses less digits than its factorization.

42142022000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604599 (or 3604593 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 42142022000144 its reverse (44100022024124), we get a palindrome (86242044024268).

The spelling of 42142022000144 in words is "forty-two trillion, one hundred forty-two billion, twenty-two million, one hundred forty-four", and thus it is an aban number.