4144011876 has 27 divisors (see below), whose sum is σ = 10476117561. Its totient is φ = 1381208544.

The previous prime is 4144011871. The next prime is 4144011887. The reversal of 4144011876 is 6781104414.

The square root of 4144011876 is 64374.

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

It can be written as a sum of positive squares in only one way, i.e., 3094251876 + 1049760000 = 55626^2 + 32400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4144011876.

It is not an unprimeable number, because it can be changed into a prime (4144011871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 380880 + ... + 391608.

Almost surely, 2^4144011876 is an apocalyptic number.

4144011876 is the 64374-th square number.

It is an amenable number.

4144011876 is an abundant number, since it is smaller than the sum of its proper divisors (6332105685).

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

4144011876 is an equidigital number, since it uses as much as digits as its factorization.

4144011876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21468 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The cubic root of 4144011876 is about 1606.2272780406.

Multiplying 4144011876 by its sum of digits (36), we get a square (149184427536 = 386244²).

4144011876 divided by its sum of digits (36) gives a square (115111441 = 10729²).

The spelling of 4144011876 in words is "four billion, one hundred forty-four million, eleven thousand, eight hundred seventy-six".