74133442000 has 160 divisors (see below), whose sum is σ = 183743239680. Its totient is φ = 28920153600.

The previous prime is 74133441973. The next prime is 74133442001. The reversal of 74133442000 is 24433147.

It is a self number, because there is not a number n which added to its sum of digits gives 74133442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74133442001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13111174 + ... + 13116826.

It is an arithmetic number, because the mean of its divisors is an integer number (1148395248).

Almost surely, 2^74133442000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74133442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91871619840).

74133442000 is an abundant number, since it is smaller than the sum of its proper divisors (109609797680).

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

74133442000 is a wasteful number, since it uses less digits than its factorization.

74133442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 74133442000 its reverse (24433147), we get a palindrome (74157875147).

The spelling of 74133442000 in words is "seventy-four billion, one hundred thirty-three million, four hundred forty-two thousand".