74038580044416 has 384 divisors, whose sum is σ = 243168949754640. Its totient is φ = 21420750274560.

The previous prime is 74038580044379. The next prime is 74038580044427. The reversal of 74038580044416 is 61444008583047.

74038580044416 is a `hidden beast` number, since 7 + 4 + 0 + 3 + 8 + 580 + 0 + 4 + 44 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39213946506816 + 34824633537600 = 6262104^2 + 5901240^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×74038580044416² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 269985066 + ... + 270259158.

Almost surely, 2^{74038580044416} 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 74038580044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121584474877320).

74038580044416 is an abundant number, since it is smaller than the sum of its proper divisors (169130369710224).

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

74038580044416 is a wasteful number, since it uses less digits than its factorization.

74038580044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275204 (or 275189 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 74038580044416 in words is "seventy-four trillion, thirty-eight billion, five hundred eighty million, forty-four thousand, four hundred sixteen".