1284055309404 has 864 divisors, whose sum is σ = 4156026900480. Its totient is φ = 345293964288.

The previous prime is 1284055309393. The next prime is 1284055309417. The reversal of 1284055309404 is 4049035504821.

1284055309404 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 553 + 0 + 94 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1284055309404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9372666424 + ... + 9372666560.

It is an arithmetic number, because the mean of its divisors is an integer number (4810216320).

Almost surely, 2^{1284055309404} is an apocalyptic number.

1284055309404 is a gapful number since it is divisible by the number (14) 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 1284055309404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078013450240).

1284055309404 is an abundant number, since it is smaller than the sum of its proper divisors (2871971591076).

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

1284055309404 is a wasteful number, since it uses less digits than its factorization.

1284055309404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1284055309404 in words is "one trillion, two hundred eighty-four billion, fifty-five million, three hundred nine thousand, four hundred four".