10416766416 has 320 divisors, whose sum is σ = 33426432000. Its totient is φ = 2729299968.

The previous prime is 10416766387. The next prime is 10416766433. The reversal of 10416766416 is 61466761401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44707036 + ... + 44707268.

It is an arithmetic number, because the mean of its divisors is an integer number (104457600).

Almost surely, 2^10416766416 is an apocalyptic number.

10416766416 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 10416766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216000).

10416766416 is an abundant number, since it is smaller than the sum of its proper divisors (23009665584).

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

10416766416 is a wasteful number, since it uses less digits than its factorization.

10416766416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10416766416 in words is "ten billion, four hundred sixteen million, seven hundred sixty-six thousand, four hundred sixteen".