42301200210324 has 48 divisors (see below), whose sum is σ = 107689099746816. Its totient is φ = 12816960114400.

The previous prime is 42301200210319. The next prime is 42301200210349.

It is a happy number.

42301200210324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42301200210294 and 42301200210303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18746022 + ... + 20880989.

It is an arithmetic number, because the mean of its divisors is an integer number (2243522911392).

Almost surely, 2^{42301200210324} is an apocalyptic number.

42301200210324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42301200210324 is an abundant number, since it is smaller than the sum of its proper divisors (65387899536492).

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

42301200210324 is a wasteful number, since it uses less digits than its factorization.

42301200210324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39635116 (or 39635114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 42301200 and 210324, that added together give a palindrome (42511524).

The spelling of 42301200210324 in words is "forty-two trillion, three hundred one billion, two hundred million, two hundred ten thousand, three hundred twenty-four".