11410108416 has 520 divisors, whose sum is σ = 41388795360. Its totient is φ = 3068264448.

The previous prime is 11410108397. The next prime is 11410108421. The reversal of 11410108416 is 61480101411.

11410108416 is a `hidden beast` number, since 1 + 141 + 0 + 108 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11410108416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671182840 + ... + 671182856.

Almost surely, 2^11410108416 is an apocalyptic number.

11410108416 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 11410108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694397680).

11410108416 is an abundant number, since it is smaller than the sum of its proper divisors (29978686944).

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

11410108416 is an frugal number, since it uses more digits than its factorization.

11410108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 11410108416 its reverse (61480101411), we get a palindrome (72890209827).

The spelling of 11410108416 in words is "eleven billion, four hundred ten million, one hundred eight thousand, four hundred sixteen".