10304413440 has 144 divisors (see below), whose sum is σ = 33043925376. Its totient is φ = 2736640000.

The previous prime is 10304413421. The next prime is 10304413453. The reversal of 10304413440 is 4431440301.

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 10304413440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958495 + ... + 969185.

It is an arithmetic number, because the mean of its divisors is an integer number (229471704).

Almost surely, 2^10304413440 is an apocalyptic number.

10304413440 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 10304413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16521962688).

10304413440 is an abundant number, since it is smaller than the sum of its proper divisors (22739511936).

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

10304413440 is a wasteful number, since it uses less digits than its factorization.

10304413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966 (or 10952 counting only the distinct ones).

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

Adding to 10304413440 its reverse (4431440301), we get a palindrome (14735853741).

The spelling of 10304413440 in words is "ten billion, three hundred four million, four hundred thirteen thousand, four hundred forty".