416620216320 has 768 divisors, whose sum is σ = 1700806947840. Its totient is φ = 84557168640.

The previous prime is 416620216279. The next prime is 416620216321. The reversal of 416620216320 is 23612026614.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (416620216321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9688842219 + ... + 9688842261.

It is an arithmetic number, because the mean of its divisors is an integer number (2214592380).

Almost surely, 2^416620216320 is an apocalyptic number.

416620216320 is a gapful number since it is divisible by the number (40) 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 416620216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850403473920).

416620216320 is an abundant number, since it is smaller than the sum of its proper divisors (1284186731520).

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

416620216320 is an frugal number, since it uses more digits than its factorization.

416620216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 416620216320 in words is "four hundred sixteen billion, six hundred twenty million, two hundred sixteen thousand, three hundred twenty".