1217604104640 has 3024 divisors, whose sum is σ = 5887635062400. Its totient is φ = 237967994880.

The previous prime is 1217604104623. The next prime is 1217604104693. The reversal of 1217604104640 is 464014067121.

It is a happy number.

1217604104640 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 6 + 0 + 4 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1217604104595 and 1217604104604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8759741691 + ... + 8759741829.

Almost surely, 2^{1217604104640} is an apocalyptic number.

1217604104640 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 1217604104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943817531200).

1217604104640 is an abundant number, since it is smaller than the sum of its proper divisors (4670030957760).

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

1217604104640 is a wasteful number, since it uses less digits than its factorization.

1217604104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1217604104640 in words is "one trillion, two hundred seventeen billion, six hundred four million, one hundred four thousand, six hundred forty".