1284590845440 has 1120 divisors, whose sum is σ = 5332717969920. Its totient is φ = 290560131072.

The previous prime is 1284590845429. The next prime is 1284590845507. The reversal of 1284590845440 is 445480954821.

1284590845440 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 5 + 90 + 8 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1397813301 + ... + 1397814219.

Almost surely, 2^{1284590845440} is an apocalyptic number.

1284590845440 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 1284590845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666358984960).

1284590845440 is an abundant number, since it is smaller than the sum of its proper divisors (4048127124480).

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

1284590845440 is an frugal number, since it uses more digits than its factorization.

1284590845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1284590845440 in words is "one trillion, two hundred eighty-four billion, five hundred ninety million, eight hundred forty-five thousand, four hundred forty".