1021218394464 has 144 divisors (see below), whose sum is σ = 2931879590640. Its totient is φ = 337151185920.

The previous prime is 1021218394451. The next prime is 1021218394501. The reversal of 1021218394464 is 4644938121201.

1021218394464 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 183 + 9 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111154479 + ... + 111163665.

It is an arithmetic number, because the mean of its divisors is an integer number (20360274935).

Almost surely, 2^{1021218394464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021218394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465939795320).

1021218394464 is an abundant number, since it is smaller than the sum of its proper divisors (1910661196176).

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

1021218394464 is a wasteful number, since it uses less digits than its factorization.

1021218394464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12853 (or 12842 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1021218394464 in words is "one trillion, twenty-one billion, two hundred eighteen million, three hundred ninety-four thousand, four hundred sixty-four".