1284357414240 has 384 divisors, whose sum is σ = 4567558947840. Its totient is φ = 337029120000.

The previous prime is 1284357414229. The next prime is 1284357414253. The reversal of 1284357414240 is 424147534821.

1284357414240 is a `hidden beast` number, since 1 + 2 + 8 + 43 + 574 + 14 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69789040 + ... + 69807440.

It is an arithmetic number, because the mean of its divisors is an integer number (11894684760).

Almost surely, 2^{1284357414240} is an apocalyptic number.

1284357414240 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 1284357414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283779473920).

1284357414240 is an abundant number, since it is smaller than the sum of its proper divisors (3283201533600).

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

1284357414240 is a wasteful number, since it uses less digits than its factorization.

1284357414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18683 (or 18669 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1284357414240 in words is "one trillion, two hundred eighty-four billion, three hundred fifty-seven million, four hundred fourteen thousand, two hundred forty".