1240456217328 has 640 divisors, whose sum is σ = 3976511201280. Its totient is φ = 373098700800.

The previous prime is 1240456217293. The next prime is 1240456217339. The reversal of 1240456217328 is 8237126540421.

1240456217328 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 456 + 2 + 173 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2526387163 + ... + 2526387653.

It is an arithmetic number, because the mean of its divisors is an integer number (6213298752).

Almost surely, 2^{1240456217328} is an apocalyptic number.

1240456217328 is a gapful number since it is divisible by the number (18) 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 1240456217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988255600640).

1240456217328 is an abundant number, since it is smaller than the sum of its proper divisors (2736054983952).

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

1240456217328 is a wasteful number, since it uses less digits than its factorization.

1240456217328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1240456217328 in words is "one trillion, two hundred forty billion, four hundred fifty-six million, two hundred seventeen thousand, three hundred twenty-eight".