820417714028 has 48 divisors (see below), whose sum is σ = 1579335335424. Its totient is φ = 369814415040.

The previous prime is 820417714007. The next prime is 820417714057.

820417714028 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a self number, because there is not a number n which added to its sum of digits gives 820417714028.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2506925 + ... + 2815227.

It is an arithmetic number, because the mean of its divisors is an integer number (32902819488).

Almost surely, 2^820417714028 is an apocalyptic number.

It is an amenable number.

820417714028 is a deficient number, since it is larger than the sum of its proper divisors (758917621396).

820417714028 is a wasteful number, since it uses less digits than its factorization.

820417714028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308822 (or 308820 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 820417714028 in words is "eight hundred twenty billion, four hundred seventeen million, seven hundred fourteen thousand, twenty-eight".