7968400440000 has 1120 divisors, whose sum is σ = 35373366099456. Its totient is φ = 1528381440000.

The previous prime is 7968400439983. The next prime is 7968400440019. The reversal of 7968400440000 is 440048697.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120086832 + ... + 120153168.

Almost surely, 2^{7968400440000} is an apocalyptic number.

7968400440000 is a gapful number since it is divisible by the number (70) 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 7968400440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686683049728).

7968400440000 is an abundant number, since it is smaller than the sum of its proper divisors (27404965659456).

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

7968400440000 is a wasteful number, since it uses less digits than its factorization.

7968400440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66403 (or 66378 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

Adding to 7968400440000 its reverse (440048697), we get a palindrome (7968840488697).

The spelling of 7968400440000 in words is "seven trillion, nine hundred sixty-eight billion, four hundred million, four hundred forty thousand".