2016656965440 has 1792 divisors, whose sum is σ = 8516648448000. Its totient is φ = 444420587520.

The previous prime is 2016656965369. The next prime is 2016656965451. The reversal of 2016656965440 is 445696566102.

2016656965440 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 6 + 5 + 6 + 96 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4374526810 + ... + 4374527270.

It is an arithmetic number, because the mean of its divisors is an integer number (4752594000).

Almost surely, 2^{2016656965440} is an apocalyptic number.

2016656965440 is a gapful number since it is divisible by the number (20) 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 2016656965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258324224000).

2016656965440 is an abundant number, since it is smaller than the sum of its proper divisors (6499991482560).

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

2016656965440 is a wasteful number, since it uses less digits than its factorization.

2016656965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2016656965440 in words is "two trillion, sixteen billion, six hundred fifty-six million, nine hundred sixty-five thousand, four hundred forty".