42322450233000 has 512 divisors, whose sum is σ = 151735320023040. Its totient is φ = 9620914867200.

The previous prime is 42322450232963. The next prime is 42322450233001. The reversal of 42322450233000 is 33205422324.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (42322450233001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3274964539 + ... + 3274977461.

It is an arithmetic number, because the mean of its divisors is an integer number (296358046920).

Almost surely, 2^{42322450233000} is an apocalyptic number.

42322450233000 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 42322450233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75867660011520).

42322450233000 is an abundant number, since it is smaller than the sum of its proper divisors (109412869790040).

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

42322450233000 is a wasteful number, since it uses less digits than its factorization.

42322450233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 42322450233000 its reverse (33205422324), we get a palindrome (42355655655324).

The spelling of 42322450233000 in words is "forty-two trillion, three hundred twenty-two billion, four hundred fifty million, two hundred thirty-three thousand".