1011434440 has 32 divisors (see below), whose sum is σ = 2276975160. Its totient is φ = 404352000.

The previous prime is 1011434419. The next prime is 1011434483. The reversal of 1011434440 is 444341101.

It can be written as a sum of positive squares in 4 ways, for example, as 949749124 + 61685316 = 30818^2 + 7854^2 .

It is a super-2 number, since 2×1011434440² = 2045999252836227200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 80590 + ... + 92290.

Almost surely, 2^1011434440 is an apocalyptic number.

1011434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011434440 is an abundant number, since it is smaller than the sum of its proper divisors (1265540720).

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

1011434440 is a wasteful number, since it uses less digits than its factorization.

1011434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1011434440 is about 31803.0570857583. The cubic root of 1011434440 is about 1003.7970442073.

Adding to 1011434440 its reverse (444341101), we get a palindrome (1455775541).

The spelling of 1011434440 in words is "one billion, eleven million, four hundred thirty-four thousand, four hundred forty".