1284370421760 has 960 divisors, whose sum is σ = 4940362627200. Its totient is φ = 317995352064.

The previous prime is 1284370421683. The next prime is 1284370421771. The reversal of 1284370421760 is 671240734821.

1284370421760 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 370 + 4 + 217 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1113937344 + ... + 1113938496.

It is an arithmetic number, because the mean of its divisors is an integer number (5146211070).

Almost surely, 2^{1284370421760} is an apocalyptic number.

1284370421760 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 1284370421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470181313600).

1284370421760 is an abundant number, since it is smaller than the sum of its proper divisors (3655992205440).

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

1284370421760 is a wasteful number, since it uses less digits than its factorization.

1284370421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1284370421760 in words is "one trillion, two hundred eighty-four billion, three hundred seventy million, four hundred twenty-one thousand, seven hundred sixty".