4008052048144 has 135 divisors (see below), whose sum is σ = 8312264942583. Its totient is φ = 1872057397056.

The previous prime is 4008052048139. The next prime is 4008052048177. The reversal of 4008052048144 is 4418402508004.

The square root of 4008052048144 is 2002012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4008052048097 and 4008052048106.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8656699657 + ... + 8656700119.

Almost surely, 2^{4008052048144} is an apocalyptic number.

4008052048144 is the 2002012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008052048144

4008052048144 is an abundant number, since it is smaller than the sum of its proper divisors (4304212894439).

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

4008052048144 is an frugal number, since it uses more digits than its factorization.

4008052048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 40.

The spelling of 4008052048144 in words is "four trillion, eight billion, fifty-two million, forty-eight thousand, one hundred forty-four".