10033005440 has 64 divisors (see below), whose sum is σ = 24022884960. Its totient is φ = 4006889472.

The previous prime is 10033005431. The next prime is 10033005457. The reversal of 10033005440 is 4450033001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10033005440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405917 + ... + 429923.

Almost surely, 2^10033005440 is an apocalyptic number.

10033005440 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 10033005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011442480).

10033005440 is an abundant number, since it is smaller than the sum of its proper divisors (13989879520).

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

10033005440 is an equidigital number, since it uses as much as digits as its factorization.

10033005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24679 (or 24667 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10033005440 its reverse (4450033001), we get a palindrome (14483038441).

The spelling of 10033005440 in words is "ten billion, thirty-three million, five thousand, four hundred forty".