1033140000 has 240 divisors, whose sum is σ = 3452869728. Its totient is φ = 270336000.

The previous prime is 1033139983. The next prime is 1033140107. The reversal of 1033140000 is 413301.

1033140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4019872 + ... + 4020128.

Almost surely, 2^1033140000 is an apocalyptic number.

1033140000 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 1033140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726434864).

1033140000 is an abundant number, since it is smaller than the sum of its proper divisors (2419729728).

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

1033140000 is an equidigital number, since it uses as much as digits as its factorization.

1033140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1033140000 is about 32142.4952360578. The cubic root of 1033140000 is about 1010.9268360481.

Adding to 1033140000 its reverse (413301), we get a palindrome (1033553301).

The spelling of 1033140000 in words is "one billion, thirty-three million, one hundred forty thousand".