4074144849936 has 540 divisors, whose sum is σ = 14118298194000. Its totient is φ = 1093337118720.

The previous prime is 4074144849893. The next prime is 4074144849937. The reversal of 4074144849936 is 6399484414704.

4074144849936 is a `hidden beast` number, since 4 + 0 + 74 + 1 + 4 + 48 + 499 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4074144849937) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1164372315 + ... + 1164375813.

Almost surely, 2^{4074144849936} 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 4074144849936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059149097000).

4074144849936 is an abundant number, since it is smaller than the sum of its proper divisors (10044153344064).

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

4074144849936 is a wasteful number, since it uses less digits than its factorization.

4074144849936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4074144849936 in words is "four trillion, seventy-four billion, one hundred forty-four million, eight hundred forty-nine thousand, nine hundred thirty-six".