1968253439040 has 896 divisors, whose sum is σ = 8482729328640. Its totient is φ = 419818291200.

The previous prime is 1968253438993. The next prime is 1968253439147. The reversal of 1968253439040 is 409343528691.

1968253439040 is a `hidden beast` number, since 1 + 9 + 68 + 2 + 534 + 3 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×1968253439040² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57015385 + ... + 57049895.

It is an arithmetic number, because the mean of its divisors is an integer number (9467331840).

Almost surely, 2^{1968253439040} is an apocalyptic number.

1968253439040 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 1968253439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241364664320).

1968253439040 is an abundant number, since it is smaller than the sum of its proper divisors (6514475889600).

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

1968253439040 is a wasteful number, since it uses less digits than its factorization.

1968253439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34608 (or 34592 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1968253439040 in words is "one trillion, nine hundred sixty-eight billion, two hundred fifty-three million, four hundred thirty-nine thousand, forty".