42202202323000 has 128 divisors (see below), whose sum is σ = 98870367810240. Its totient is φ = 16860856320000.

The previous prime is 42202202322983. The next prime is 42202202323019. The reversal of 42202202323000 is 32320220224.

42202202323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42202202323000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3924685624 + ... + 3924696376.

Almost surely, 2^{42202202323000} is an apocalyptic number.

42202202323000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42202202323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49435183905120).

42202202323000 is an abundant number, since it is smaller than the sum of its proper divisors (56668165487240).

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

42202202323000 is a wasteful number, since it uses less digits than its factorization.

42202202323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 15052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42202202323000 its reverse (32320220224), we get a palindrome (42234522543224).

The spelling of 42202202323000 in words is "forty-two trillion, two hundred two billion, two hundred two million, three hundred twenty-three thousand".