1217304966240 has 768 divisors, whose sum is σ = 4862057840640. Its totient is φ = 281570826240.

The previous prime is 1217304966239. The next prime is 1217304966253. The reversal of 1217304966240 is 426694037121.

1217304966240 is a `hidden beast` number, since 1 + 2 + 17 + 3 + 0 + 4 + 9 + 6 + 624 + 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 127 ways as a sum of consecutive naturals, for example, 532270377 + ... + 532272663.

It is an arithmetic number, because the mean of its divisors is an integer number (6330804480).

Almost surely, 2^{1217304966240} is an apocalyptic number.

1217304966240 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 1217304966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431028920320).

1217304966240 is an abundant number, since it is smaller than the sum of its proper divisors (3644752874400).

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

1217304966240 is a wasteful number, since it uses less digits than its factorization.

1217304966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1217304966240 in words is "one trillion, two hundred seventeen billion, three hundred four million, nine hundred sixty-six thousand, two hundred forty".