1283285419200 has 672 divisors, whose sum is σ = 4992594739200. Its totient is φ = 319520194560.

The previous prime is 1283285419187. The next prime is 1283285419219. The reversal of 1283285419200 is 29145823821.

1283285419200 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 28 + 5 + 419 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93261921 + ... + 93275679.

Almost surely, 2^{1283285419200} is an apocalyptic number.

1283285419200 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 1283285419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496297369600).

1283285419200 is an abundant number, since it is smaller than the sum of its proper divisors (3709309320000).

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

1283285419200 is a wasteful number, since it uses less digits than its factorization.

1283285419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1283285419200 in words is "one trillion, two hundred eighty-three billion, two hundred eighty-five million, four hundred nineteen thousand, two hundred".