416812488508416 has 2816 divisors, whose sum is σ = 1560839289569280. Its totient is φ = 95436472320000.

The previous prime is 416812488508373. The next prime is 416812488508421. The reversal of 416812488508416 is 614805884218614.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1549488804730 + ... + 1549488804998.

Almost surely, 2^{416812488508416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416812488508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780419644784640).

416812488508416 is an abundant number, since it is smaller than the sum of its proper divisors (1144026801060864).

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

416812488508416 is a wasteful number, since it uses less digits than its factorization.

416812488508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 66.

The spelling of 416812488508416 in words is "four hundred sixteen trillion, eight hundred twelve billion, four hundred eighty-eight million, five hundred eight thousand, four hundred sixteen".