820414961280 has 192 divisors, whose sum is σ = 2839123422720. Its totient is φ = 218304092160.

The previous prime is 820414961279. The next prime is 820414961323. The reversal of 820414961280 is 82169414028.

820414961280 is a `hidden beast` number, since 8 + 20 + 4 + 1 + 4 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2513065 + ... + 2820695.

It is an arithmetic number, because the mean of its divisors is an integer number (14787101160).

Almost surely, 2^820414961280 is an apocalyptic number.

820414961280 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 820414961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419561711360).

820414961280 is an abundant number, since it is smaller than the sum of its proper divisors (2018708461440).

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

820414961280 is a wasteful number, since it uses less digits than its factorization.

820414961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308119 (or 308104 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 820414961280 in words is "eight hundred twenty billion, four hundred fourteen million, nine hundred sixty-one thousand, two hundred eighty".