1011441144 has 64 divisors (see below), whose sum is σ = 2948832000. Its totient is φ = 288980832.

The previous prime is 1011441131. The next prime is 1011441199. The reversal of 1011441144 is 4411441101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1011441144.

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, 53202 + ... + 69665.

It is an arithmetic number, because the mean of its divisors is an integer number (46075500).

Almost surely, 2^1011441144 is an apocalyptic number.

1011441144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1011441144 is an abundant number, since it is smaller than the sum of its proper divisors (1937390856).

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

1011441144 is a wasteful number, since it uses less digits than its factorization.

1011441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122897 (or 122879 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1011441144 is about 31803.1624842562. The cubic root of 1011441144 is about 1003.7992619949.

Adding to 1011441144 its reverse (4411441101), we get a palindrome (5422882245).

The spelling of 1011441144 in words is "one billion, eleven million, four hundred forty-one thousand, one hundred forty-four".