74045412000 has 288 divisors, whose sum is σ = 300329213184. Its totient is φ = 16924608000.

The previous prime is 74045411983. The next prime is 74045412013. The reversal of 74045412000 is 21454047.

74045412000 is a `hidden beast` number, since 7 + 4 + 0 + 454 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 105085 + ... + 398915.

It is an arithmetic number, because the mean of its divisors is an integer number (1042809768).

Almost surely, 2^74045412000 is an apocalyptic number.

74045412000 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 74045412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150164606592).

74045412000 is an abundant number, since it is smaller than the sum of its proper divisors (226283801184).

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

74045412000 is a wasteful number, since it uses less digits than its factorization.

74045412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293869 (or 293848 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 74045412000 its reverse (21454047), we get a palindrome (74066866047).

The spelling of 74045412000 in words is "seventy-four billion, forty-five million, four hundred twelve thousand".