1968406440 has 384 divisors, whose sum is σ = 8073717120. Its totient is φ = 377395200.

The previous prime is 1968406397. The next prime is 1968406459. The reversal of 1968406440 is 446048691.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1968406392 and 1968406401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839670 + ... + 842010.

It is an arithmetic number, because the mean of its divisors is an integer number (21025305).

Almost surely, 2^1968406440 is an apocalyptic number.

1968406440 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 1968406440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036858560).

1968406440 is an abundant number, since it is smaller than the sum of its proper divisors (6105310680).

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

1968406440 is a wasteful number, since it uses less digits than its factorization.

1968406440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1968406440 is about 44366.7267217224. The cubic root of 1968406440 is about 1253.2515750073.

The spelling of 1968406440 in words is "one billion, nine hundred sixty-eight million, four hundred six thousand, four hundred forty".