1285415910144 has 252 divisors, whose sum is σ = 3856083005656. Its totient is φ = 427455553536.

The previous prime is 1285415910143. The next prime is 1285415910151. The reversal of 1285415910144 is 4410195145821.

1285415910144 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 41 + 591 + 0 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1285415910144.

It is not an unprimeable number, because it can be changed into a prime (1285415910143) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80800239 + ... + 80816145.

Almost surely, 2^{1285415910144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285415910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928041502828).

1285415910144 is an abundant number, since it is smaller than the sum of its proper divisors (2570667095512).

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

1285415910144 is an frugal number, since it uses more digits than its factorization.

1285415910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16374 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1285415910144 in words is "one trillion, two hundred eighty-five billion, four hundred fifteen million, nine hundred ten thousand, one hundred forty-four".