10333414140 has 192 divisors, whose sum is σ = 34296299520. Its totient is φ = 2274842880.

The previous prime is 10333414123. The next prime is 10333414141. The reversal of 10333414140 is 4141433301.

It is a self number, because there is not a number n which added to its sum of digits gives 10333414140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333414141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2901681 + ... + 2905239.

It is an arithmetic number, because the mean of its divisors is an integer number (178626560).

Almost surely, 2^10333414140 is an apocalyptic number.

10333414140 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 10333414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17148149760).

10333414140 is an abundant number, since it is smaller than the sum of its proper divisors (23962885380).

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

10333414140 is a wasteful number, since it uses less digits than its factorization.

10333414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10333414140 its reverse (4141433301), we get a palindrome (14474847441).

The spelling of 10333414140 in words is "ten billion, three hundred thirty-three million, four hundred fourteen thousand, one hundred forty".