74434010000 has 400 divisors, whose sum is σ = 219037885440. Its totient is φ = 23950080000.

The previous prime is 74434009997. The next prime is 74434010039. The reversal of 74434010000 is 1043447.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 75109505 + ... + 75110495.

Almost surely, 2^74434010000 is an apocalyptic number.

74434010000 is a gapful number since it is divisible by the number (70) 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 74434010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109518942720).

74434010000 is an abundant number, since it is smaller than the sum of its proper divisors (144603875440).

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

74434010000 is a wasteful number, since it uses less digits than its factorization.

74434010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 74434010000 its reverse (1043447), we get a palindrome (74435053447).

The spelling of 74434010000 in words is "seventy-four billion, four hundred thirty-four million, ten thousand".