10413430104320 has 72 divisors (see below), whose sum is σ = 24957918137880. Its totient is φ = 4162950840320.

The previous prime is 10413430104277. The next prime is 10413430104367. The reversal of 10413430104320 is 2340103431401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4492500680704 + 5920929423616 = 2119552^2 + 2433296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10413430104320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160715 + ... + 4566474.

It is an arithmetic number, because the mean of its divisors is an integer number (346637751915).

Almost surely, 2^{10413430104320} is an apocalyptic number.

10413430104320 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 10413430104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478959068940).

10413430104320 is an abundant number, since it is smaller than the sum of its proper divisors (14544488033560).

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

10413430104320 is an equidigital number, since it uses as much as digits as its factorization.

10413430104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728931 (or 4728917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10413430104320 its reverse (2340103431401), we get a palindrome (12753533535721).

The spelling of 10413430104320 in words is "ten trillion, four hundred thirteen billion, four hundred thirty million, one hundred four thousand, three hundred twenty".