10433328480 has 144 divisors (see below), whose sum is σ = 35719748064. Its totient is φ = 2773155840.

The previous prime is 10433328467. The next prime is 10433328481. The reversal of 10433328480 is 8482333401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10433328480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10433328481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436192 + ... + 459488.

It is an arithmetic number, because the mean of its divisors is an integer number (248053806).

Almost surely, 2^10433328480 is an apocalyptic number.

10433328480 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 10433328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859874032).

10433328480 is an abundant number, since it is smaller than the sum of its proper divisors (25286419584).

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

10433328480 is a wasteful number, since it uses less digits than its factorization.

10433328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23629 (or 23618 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10433328480 in words is "ten billion, four hundred thirty-three million, three hundred twenty-eight thousand, four hundred eighty".