1940567265168 has 320 divisors, whose sum is σ = 6020314675200. Its totient is φ = 526935306240.

The previous prime is 1940567265127. The next prime is 1940567265211. The reversal of 1940567265168 is 8615627650491.

It is a super-2 number, since 2×1940567265168² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227255043 + ... + 227263581.

It is an arithmetic number, because the mean of its divisors is an integer number (18813483360).

Almost surely, 2^{1940567265168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940567265168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010157337600).

1940567265168 is an abundant number, since it is smaller than the sum of its proper divisors (4079747410032).

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

1940567265168 is a wasteful number, since it uses less digits than its factorization.

1940567265168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8950 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 1940567265168 in words is "one trillion, nine hundred forty billion, five hundred sixty-seven million, two hundred sixty-five thousand, one hundred sixty-eight".