1284381901440 has 1152 divisors, whose sum is σ = 5132345587200. Its totient is φ = 293216256000.

The previous prime is 1284381901343. The next prime is 1284381901447. The reversal of 1284381901440 is 441091834821.

1284381901440 is a `hidden beast` number, since 1 + 2 + 8 + 43 + 81 + 90 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284381901447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3301752766 + ... + 3301753154.

It is an arithmetic number, because the mean of its divisors is an integer number (4455161100).

Almost surely, 2^{1284381901440} is an apocalyptic number.

1284381901440 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 1284381901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566172793600).

1284381901440 is an abundant number, since it is smaller than the sum of its proper divisors (3847963685760).

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

1284381901440 is a wasteful number, since it uses less digits than its factorization.

1284381901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1284381901440 in words is "one trillion, two hundred eighty-four billion, three hundred eighty-one million, nine hundred one thousand, four hundred forty".