1968358909440 has 640 divisors, whose sum is σ = 7857466518528. Its totient is φ = 408376442880.

The previous prime is 1968358909397. The next prime is 1968358909457. The reversal of 1968358909440 is 449098538691.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1968358909440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 447657322 + ... + 447661718.

Almost surely, 2^{1968358909440} is an apocalyptic number.

1968358909440 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 1968358909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928733259264).

1968358909440 is an abundant number, since it is smaller than the sum of its proper divisors (5889107609088).

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

1968358909440 is a wasteful number, since it uses less digits than its factorization.

1968358909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 1968358909440 in words is "one trillion, nine hundred sixty-eight billion, three hundred fifty-eight million, nine hundred nine thousand, four hundred forty".