1285350144000 has 768 divisors, whose sum is σ = 4877130061440. Its totient is φ = 297743155200.

The previous prime is 1285350143929. The next prime is 1285350144031. The reversal of 1285350144000 is 4410535821.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169724214 + ... + 169731786.

Almost surely, 2^{1285350144000} is an apocalyptic number.

1285350144000 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 1285350144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438565030720).

1285350144000 is an abundant number, since it is smaller than the sum of its proper divisors (3591779917440).

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

1285350144000 is a wasteful number, since it uses less digits than its factorization.

1285350144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 1285350144000 its reverse (4410535821), we get a palindrome (1289760679821).

The spelling of 1285350144000 in words is "one trillion, two hundred eighty-five billion, three hundred fifty million, one hundred forty-four thousand".