1284374820960 has 864 divisors, whose sum is σ = 5803917380352. Its totient is φ = 255275919360.

The previous prime is 1284374820923. The next prime is 1284374820961. The reversal of 1284374820960 is 690284734821.

1284374820960 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 374 + 8 + 209 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1284374820897 and 1284374820906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284374820961) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 17815707 + ... + 17887653.

It is an arithmetic number, because the mean of its divisors is an integer number (6717496968).

Almost surely, 2^{1284374820960} is an apocalyptic number.

1284374820960 is a gapful number since it is divisible by the number (10) 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 1284374820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901958690176).

1284374820960 is an abundant number, since it is smaller than the sum of its proper divisors (4519542559392).

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

1284374820960 is a wasteful number, since it uses less digits than its factorization.

1284374820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72016 (or 71998 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1284374820960 in words is "one trillion, two hundred eighty-four billion, three hundred seventy-four million, eight hundred twenty thousand, nine hundred sixty".