1940271936768 has 432 divisors, whose sum is σ = 6374729088000. Its totient is φ = 583702640640.

The previous prime is 1940271936731. The next prime is 1940271936773. The reversal of 1940271936768 is 8676391720491.

1940271936768 is a `hidden beast` number, since 1 + 9 + 402 + 71 + 93 + 6 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95105833 + ... + 95126231.

Almost surely, 2^{1940271936768} is an apocalyptic number.

1940271936768 is a gapful number since it is divisible by the number (18) 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 1940271936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187364544000).

1940271936768 is an abundant number, since it is smaller than the sum of its proper divisors (4434457151232).

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

1940271936768 is a wasteful number, since it uses less digits than its factorization.

1940271936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20580 (or 20554 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1940271936768 in words is "one trillion, nine hundred forty billion, two hundred seventy-one million, nine hundred thirty-six thousand, seven hundred sixty-eight".