74131200000 has 1440 divisors, whose sum is σ = 325147782960. Its totient is φ = 16588800000.

The previous prime is 74131199983. The next prime is 74131200053. The reversal of 74131200000 is 213147.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5702399994 + ... + 5702400006.

Almost surely, 2^74131200000 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 74131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162573891480).

74131200000 is an abundant number, since it is smaller than the sum of its proper divisors (251016582960).

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

74131200000 is an equidigital number, since it uses as much as digits as its factorization.

74131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 74131200000 its reverse (213147), we get a palindrome (74131413147).

The spelling of 74131200000 in words is "seventy-four billion, one hundred thirty-one million, two hundred thousand".