1011008340 has 72 divisors (see below), whose sum is σ = 3141546408. Its totient is φ = 263024640.

The previous prime is 1011008333. The next prime is 1011008347. The reversal of 1011008340 is 438001101.

It is an interprime number because it is at equal distance from previous prime (1011008333) and next prime (1011008347).

It can be written as a sum of positive squares in 4 ways, for example, as 89643024 + 921365316 = 9468^2 + 30354^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011008347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61117 + ... + 75876.

It is an arithmetic number, because the mean of its divisors is an integer number (43632589).

Almost surely, 2^1011008340 is an apocalyptic number.

1011008340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011008340 is an abundant number, since it is smaller than the sum of its proper divisors (2130538068).

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

1011008340 is a wasteful number, since it uses less digits than its factorization.

1011008340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137049 (or 137044 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011008340 is about 31796.3573385380. The cubic root of 1011008340 is about 1003.6560635758.

Adding to 1011008340 its reverse (438001101), we get a palindrome (1449009441).

The spelling of 1011008340 in words is "one billion, eleven million, eight thousand, three hundred forty".