1033140020 has 48 divisors (see below), whose sum is σ = 2372328000. Its totient is φ = 374814720.

The previous prime is 1033139983. The next prime is 1033140107. The reversal of 1033140020 is 200413301.

It is a junction number, because it is equal to n+sod(n) for n = 1033139977 and 1033140004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93551 + ... + 104009.

It is an arithmetic number, because the mean of its divisors is an integer number (49423500).

Almost surely, 2^1033140020 is an apocalyptic number.

1033140020 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 1033140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186164000).

1033140020 is an abundant number, since it is smaller than the sum of its proper divisors (1339187980).

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

1033140020 is a wasteful number, since it uses less digits than its factorization.

1033140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1033140020 is about 32142.4955471724. The cubic root of 1033140020 is about 1010.9268425714.

Adding to 1033140020 its reverse (200413301), we get a palindrome (1233553321).

The spelling of 1033140020 in words is "one billion, thirty-three million, one hundred forty thousand, twenty".