10413334320 has 160 divisors (see below), whose sum is σ = 32742636480. Its totient is φ = 2737459200.

The previous prime is 10413334319. The next prime is 10413334357. The reversal of 10413334320 is 2343331401.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6519762 + ... + 6521358.

It is an arithmetic number, because the mean of its divisors is an integer number (204641478).

Almost surely, 2^10413334320 is an apocalyptic number.

10413334320 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 10413334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371318240).

10413334320 is an abundant number, since it is smaller than the sum of its proper divisors (22329302160).

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

10413334320 is a wasteful number, since it uses less digits than its factorization.

10413334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10413334320 its reverse (2343331401), we get a palindrome (12756665721).

The spelling of 10413334320 in words is "ten billion, four hundred thirteen million, three hundred thirty-four thousand, three hundred twenty".