1136419284000 has 1536 divisors, whose sum is σ = 5059511009280. Its totient is φ = 215322624000.

The previous prime is 1136419283983. The next prime is 1136419284037. The reversal of 1136419284000 is 4829146311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1136419284000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1069067469 + ... + 1069068531.

It is an arithmetic number, because the mean of its divisors is an integer number (3293952480).

Almost surely, 2^{1136419284000} is an apocalyptic number.

1136419284000 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 1136419284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529755504640).

1136419284000 is an abundant number, since it is smaller than the sum of its proper divisors (3923091725280).

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

1136419284000 is a wasteful number, since it uses less digits than its factorization.

1136419284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1136419284000 in words is "one trillion, one hundred thirty-six billion, four hundred nineteen million, two hundred eighty-four thousand".