10410522064416 has 144 divisors (see below), whose sum is σ = 31354764989184. Its totient is φ = 3265173338112.

The previous prime is 10410522064379. The next prime is 10410522064421. The reversal of 10410522064416 is 61446022501401.

10410522064416 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 0 + 5 + 2 + 2 + 0 + 644 + 1 + 6 = 666.

10410522064416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18161001 + ... + 18725463.

It is an arithmetic number, because the mean of its divisors is an integer number (217741423536).

Almost surely, 2^{10410522064416} is an apocalyptic number.

10410522064416 is a gapful number since it is divisible by the number (16) 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 10410522064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15677382494592).

10410522064416 is an abundant number, since it is smaller than the sum of its proper divisors (20944242924768).

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

10410522064416 is a wasteful number, since it uses less digits than its factorization.

10410522064416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568263 (or 568252 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10410522064416 its reverse (61446022501401), we get a palindrome (71856544565817).

The spelling of 10410522064416 in words is "ten trillion, four hundred ten billion, five hundred twenty-two million, sixty-four thousand, four hundred sixteen".