42144321430200 has 96 divisors (see below), whose sum is σ = 142524432495360. Its totient is φ = 10216805193600.

The previous prime is 42144321430171. The next prime is 42144321430229. The reversal of 42144321430200 is 203412344124.

It is an interprime number because it is at equal distance from previous prime (42144321430171) and next prime (42144321430229).

It is a super-2 number, since 2×42144321430200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3192745024 + ... + 3192758223.

It is an arithmetic number, because the mean of its divisors is an integer number (1484629505160).

Almost surely, 2^{42144321430200} is an apocalyptic number.

42144321430200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144321430200 is an abundant number, since it is smaller than the sum of its proper divisors (100380111065160).

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

42144321430200 is a wasteful number, since it uses less digits than its factorization.

42144321430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385503277 (or 6385503268 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42144321430200 its reverse (203412344124), we get a palindrome (42347733774324).

The spelling of 42144321430200 in words is "forty-two trillion, one hundred forty-four billion, three hundred twenty-one million, four hundred thirty thousand, two hundred".