10413123240320 has 128 divisors (see below), whose sum is σ = 25243906184640. Its totient is φ = 4106722443264.

The previous prime is 10413123240319. The next prime is 10413123240371. The reversal of 10413123240320 is 2304232131401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10413123240320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135589772 + ... + 135666548.

Almost surely, 2^{10413123240320} is an apocalyptic number.

10413123240320 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 10413123240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621953092320).

10413123240320 is an abundant number, since it is smaller than the sum of its proper divisors (14830782944320).

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

10413123240320 is an equidigital number, since it uses as much as digits as its factorization.

10413123240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79772 (or 79760 counting only the distinct ones).

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

Adding to 10413123240320 its reverse (2304232131401), we get a palindrome (12717355371721).

The spelling of 10413123240320 in words is "ten trillion, four hundred thirteen billion, one hundred twenty-three million, two hundred forty thousand, three hundred twenty".