816419338257600 has 2016 divisors, whose sum is σ = 3881128766860800. Its totient is φ = 163795555123200.

The previous prime is 816419338257557. The next prime is 816419338257613. The reversal of 816419338257600 is 6752833914618.

816419338257600 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 19 + 3 + 3 + 8 + 2 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 867720216 + ... + 868660584.

It is an arithmetic number, because the mean of its divisors is an integer number (1925163078800).

It is a 1-persistent number, because it is pandigital, but 2⋅816419338257600 = 1632838676515200 is not.

Almost surely, 2^{816419338257600} is an apocalyptic number.

816419338257600 is a gapful number since it is divisible by the number (80) 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 816419338257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940564383430400).

816419338257600 is an abundant number, since it is smaller than the sum of its proper divisors (3064709428603200).

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

816419338257600 is a wasteful number, since it uses less digits than its factorization.

816419338257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940453 (or 940426 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 816419338257600 in words is "eight hundred sixteen trillion, four hundred nineteen billion, three hundred thirty-eight million, two hundred fifty-seven thousand, six hundred".