444111040 has 28 divisors (see below), whose sum is σ = 1057540176. Its totient is φ = 177644288.

The previous prime is 444111029. The next prime is 444111079. The reversal of 444111040 is 40111444.

It is a junction number, because it is equal to n+sod(n) for n = 444110999 and 444111017.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 693604 + ... + 694243.

It is an arithmetic number, because the mean of its divisors is an integer number (37769292).

Almost surely, 2^444111040 is an apocalyptic number.

444111040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444111040 is an abundant number, since it is smaller than the sum of its proper divisors (613429136).

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

444111040 is a wasteful number, since it uses less digits than its factorization.

444111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387864 (or 1387854 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 444111040 is about 21073.9422035840. The cubic root of 444111040 is about 762.9519542242.

Adding to 444111040 its reverse (40111444), we get a palindrome (484222484).

It can be divided in two parts, 44411 and 1040, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 444111040 in words is "four hundred forty-four million, one hundred eleven thousand, forty".