4074438144 has 160 divisors (see below), whose sum is σ = 13135516416. Its totient is φ = 1095598080.

The previous prime is 4074438101. The next prime is 4074438157. The reversal of 4074438144 is 4418344704.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 171639 + ... + 193929.

Almost surely, 2^4074438144 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 4074438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567758208).

4074438144 is an abundant number, since it is smaller than the sum of its proper divisors (9061078272).

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

4074438144 is a wasteful number, since it uses less digits than its factorization.

4074438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22336 (or 22320 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 4074438144 is about 63831.3257264801. The cubic root of 4074438144 is about 1597.1875258064.

The spelling of 4074438144 in words is "four billion, seventy-four million, four hundred thirty-eight thousand, one hundred forty-four".