1406644843968 has 1680 divisors, whose sum is σ = 5471340441600. Its totient is φ = 356638464000.

The previous prime is 1406644843949. The next prime is 1406644843969. The reversal of 1406644843968 is 8693484466041.

It is a happy number.

1406644843968 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 64 + 484 + 3 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406644843969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9315528693 + ... + 9315528843.

Almost surely, 2^{1406644843968} is an apocalyptic number.

1406644843968 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 1406644843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735670220800).

1406644843968 is an abundant number, since it is smaller than the sum of its proper divisors (4064695597632).

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

1406644843968 is a wasteful number, since it uses less digits than its factorization.

1406644843968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 1406644843968 in words is "one trillion, four hundred six billion, six hundred forty-four million, eight hundred forty-three thousand, nine hundred sixty-eight".