74042961000 has 128 divisors (see below), whose sum is σ = 235373299200. Its totient is φ = 19372204800.

The previous prime is 74042960989. The next prime is 74042961043. The reversal of 74042961000 is 16924047.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73840 + ... + 391839.

It is an arithmetic number, because the mean of its divisors is an integer number (1838853900).

Almost surely, 2^74042961000 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 74042961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117686649600).

74042961000 is an abundant number, since it is smaller than the sum of its proper divisors (161330338200).

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

74042961000 is a wasteful number, since it uses less digits than its factorization.

74042961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465756 (or 465742 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 74042961000 in words is "seventy-four billion, forty-two million, nine hundred sixty-one thousand".