1011223440 has 200 divisors, whose sum is σ = 3545775288. Its totient is φ = 267079680.

The previous prime is 1011223387. The next prime is 1011223469. The reversal of 1011223440 is 443221101.

1011223440 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 223 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 1010476944 = 864^2 + 31788^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 731550 + ... + 732930.

Almost surely, 2^1011223440 is an apocalyptic number.

1011223440 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 1011223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772887644).

1011223440 is an abundant number, since it is smaller than the sum of its proper divisors (2534551848).

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

1011223440 is a wasteful number, since it uses less digits than its factorization.

1011223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1504 counting only the distinct ones).

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

The square root of 1011223440 is about 31799.7396215755. The cubic root of 1011223440 is about 1003.7272371102.

Adding to 1011223440 its reverse (443221101), we get a palindrome (1454444541).

The spelling of 1011223440 in words is "one billion, eleven million, two hundred twenty-three thousand, four hundred forty".