1033000040 has 32 divisors (see below), whose sum is σ = 2387071080. Its totient is φ = 402031872.

The previous prime is 1033000027. The next prime is 1033000057. The reversal of 1033000040 is 400003301.

It can be written as a sum of positive squares in 4 ways, for example, as 931836676 + 101163364 = 30526^2 + 10058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1032999985 and 1033000030.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347507 + ... + 350466.

Almost surely, 2^1033000040 is an apocalyptic number.

1033000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033000040 is an abundant number, since it is smaller than the sum of its proper divisors (1354071040).

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

1033000040 is a wasteful number, since it uses less digits than its factorization.

1033000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698021 (or 698017 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1033000040 is about 32140.3179822478. The cubic root of 1033000040 is about 1010.8811837294.

Adding to 1033000040 its reverse (400003301), we get a palindrome (1433003341).

The spelling of 1033000040 in words is "one billion, thirty-three million, forty", and thus it is an aban number and an uban number.