10133022240 has 1152 divisors, whose sum is σ = 43589145600. Its totient is φ = 2194698240.

The previous prime is 10133022239. The next prime is 10133022281. The reversal of 10133022240 is 4222033101.

10133022240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 235651659 + ... + 235651701.

It is an arithmetic number, because the mean of its divisors is an integer number (37837800).

Almost surely, 2^10133022240 is an apocalyptic number.

10133022240 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 10133022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

10133022240 is an abundant number, since it is smaller than the sum of its proper divisors (33456123360).

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

10133022240 is a wasteful number, since it uses less digits than its factorization.

10133022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10133022240 its reverse (4222033101), we get a palindrome (14355055341).

The spelling of 10133022240 in words is "ten billion, one hundred thirty-three million, twenty-two thousand, two hundred forty".