10413184320 has 336 divisors, whose sum is σ = 44655931008. Its totient is φ = 2163732480.

The previous prime is 10413184283. The next prime is 10413184321. The reversal of 10413184320 is 2348131401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413184321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198282 + ... + 245238.

Almost surely, 2^10413184320 is an apocalyptic number.

10413184320 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 10413184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327965504).

10413184320 is an abundant number, since it is smaller than the sum of its proper divisors (34242746688).

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

10413184320 is a wasteful number, since it uses less digits than its factorization.

10413184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46998 (or 46985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10413184320 in words is "ten billion, four hundred thirteen million, one hundred eighty-four thousand, three hundred twenty".