10413686384640 has 2880 divisors, whose sum is σ = 47853495930240. Its totient is φ = 2128409395200.

The previous prime is 10413686384561. The next prime is 10413686384641. The reversal of 10413686384640 is 4648368631401.

10413686384640 is a `hidden beast` number, since 1 + 0 + 41 + 36 + 86 + 38 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10413686384641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 170716170210 + ... + 170716170270.

It is an arithmetic number, because the mean of its divisors is an integer number (16615797198).

Almost surely, 2^{10413686384640} is an apocalyptic number.

10413686384640 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 10413686384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23926747965120).

10413686384640 is an abundant number, since it is smaller than the sum of its proper divisors (37439809545600).

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

10413686384640 is an frugal number, since it uses more digits than its factorization.

10413686384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 10413686384640 in words is "ten trillion, four hundred thirteen billion, six hundred eighty-six million, three hundred eighty-four thousand, six hundred forty".