10433124240 has 320 divisors, whose sum is σ = 40540262400. Its totient is φ = 2156267520.

The previous prime is 10433124227. The next prime is 10433124241. The reversal of 10433124240 is 4242133401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10433124240.

It is not an unprimeable number, because it can be changed into a prime (10433124241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3676102 + ... + 3678938.

It is an arithmetic number, because the mean of its divisors is an integer number (126688320).

Almost surely, 2^10433124240 is an apocalyptic number.

10433124240 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 10433124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270131200).

10433124240 is an abundant number, since it is smaller than the sum of its proper divisors (30107138160).

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

10433124240 is a wasteful number, since it uses less digits than its factorization.

10433124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10433124240 its reverse (4242133401), we get a palindrome (14675257641).

The spelling of 10433124240 in words is "ten billion, four hundred thirty-three million, one hundred twenty-four thousand, two hundred forty".