1011131440 has 80 divisors (see below), whose sum is σ = 2715495840. Its totient is φ = 346050560.

The previous prime is 1011131431. The next prime is 1011131479. The reversal of 1011131440 is 441311101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18835 + ... + 48754.

It is an arithmetic number, because the mean of its divisors is an integer number (33943698).

Almost surely, 2^1011131440 is an apocalyptic number.

1011131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011131440 is an abundant number, since it is smaller than the sum of its proper divisors (1704364400).

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

1011131440 is a wasteful number, since it uses less digits than its factorization.

1011131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67630 (or 67624 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1011131440 is about 31798.2930359477. The cubic root of 1011131440 is about 1003.6967968525.

Adding to 1011131440 its reverse (441311101), we get a palindrome (1452442541).

The spelling of 1011131440 in words is "one billion, eleven million, one hundred thirty-one thousand, four hundred forty".