1283406210240 has 896 divisors, whose sum is σ = 5272105605120. Its totient is φ = 256671744000.

The previous prime is 1283406210239. The next prime is 1283406210283. The reversal of 1283406210240 is 420126043821.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 859614934 + ... + 859616426.

Almost surely, 2^{1283406210240} is an apocalyptic number.

1283406210240 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 1283406210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636052802560).

1283406210240 is an abundant number, since it is smaller than the sum of its proper divisors (3988699394880).

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

1283406210240 is a wasteful number, since it uses less digits than its factorization.

1283406210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

It can be divided in two parts, 128340 and 6210240, that added together give a triangular number (6338580 = T₃₅₆₀).

The spelling of 1283406210240 in words is "one trillion, two hundred eighty-three billion, four hundred six million, two hundred ten thousand, two hundred forty".