1073810440 has 64 divisors (see below), whose sum is σ = 2564622000. Its totient is φ = 403243008.

The previous prime is 1073810429. The next prime is 1073810471. The reversal of 1073810440 is 440183701.

It can be written as a sum of positive squares in 8 ways, for example, as 939667716 + 134142724 = 30654^2 + 11582^2 .

It is a super-2 number, since 2×1073810440² = 2306137722105987200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1073810399 and 1073810408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303562 + ... + 307078.

Almost surely, 2^1073810440 is an apocalyptic number.

1073810440 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 1073810440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282311000).

1073810440 is an abundant number, since it is smaller than the sum of its proper divisors (1490811560).

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

1073810440 is a wasteful number, since it uses less digits than its factorization.

1073810440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1073810440 is about 32769.0469803441. The cubic root of 1073810440 is about 1024.0218119743.

The spelling of 1073810440 in words is "one billion, seventy-three million, eight hundred ten thousand, four hundred forty".