1011304440 has 160 divisors (see below), whose sum is σ = 3411532080. Its totient is φ = 268697088.

The previous prime is 1011304433. The next prime is 1011304451. The reversal of 1011304440 is 444031101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 1480339 + ... + 1481021.

Almost surely, 2^1011304440 is an apocalyptic number.

1011304440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705766040).

1011304440 is an abundant number, since it is smaller than the sum of its proper divisors (2400227640).

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

1011304440 is a wasteful number, since it uses less digits than its factorization.

1011304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1011304440 is about 31801.0131914063. The cubic root of 1011304440 is about 1003.7540362436.

Adding to 1011304440 its reverse (444031101), we get a palindrome (1455335541).

It can be divided in two parts, 101130 and 4440, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 1011304440 in words is "one billion, eleven million, three hundred four thousand, four hundred forty".